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Finding the Fourth Proportional to 1,164.97, 1,746.24 and 515.35

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Solution

The fourth proportional to 1,164.97, 1,746.24 and 515.35 is: 772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.97 : 1,746.24 = 515.35 : x
  2. Step 2: Convert to fraction form
    1,164.97/1,746.24 = 515.35/x
  3. Step 3: Cross multiply
    1,164.97x = 1,746.24 × 515.35
  4. Step 4: Simplify right side
    1,164.97x = 899,924.78
  5. Step 5: Solve for x
    x = 899,924.78/1,164.97
  6. Step 6: Final answer
    x = 772.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.