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Finding the Fourth Proportional to 738.74, 1,107.50 and 507.08

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Solution

The fourth proportional to 738.74, 1,107.50 and 507.08 is: 760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.74 : 1,107.50 = 507.08 : x
  2. Step 2: Convert to fraction form
    738.74/1,107.50 = 507.08/x
  3. Step 3: Cross multiply
    738.74x = 1,107.50 × 507.08
  4. Step 4: Simplify right side
    738.74x = 561,591.33
  5. Step 5: Solve for x
    x = 561,591.33/738.74
  6. Step 6: Final answer
    x = 760.20

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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.