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Finding the Fourth Proportional to 953.72, 1,317.30 and 691.32

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Solution

The fourth proportional to 953.72, 1,317.30 and 691.32 is: 954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.72 : 1,317.30 = 691.32 : x
  2. Step 2: Convert to fraction form
    953.72/1,317.30 = 691.32/x
  3. Step 3: Cross multiply
    953.72x = 1,317.30 × 691.32
  4. Step 4: Simplify right side
    953.72x = 910,675.84
  5. Step 5: Solve for x
    x = 910,675.84/953.72
  6. Step 6: Final answer
    x = 954.87

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.