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Finding the Fourth Proportional to 691.68, 953.52 and 567.16

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Solution

The fourth proportional to 691.68, 953.52 and 567.16 is: 781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.68 : 953.52 = 567.16 : x
  2. Step 2: Convert to fraction form
    691.68/953.52 = 567.16/x
  3. Step 3: Cross multiply
    691.68x = 953.52 × 567.16
  4. Step 4: Simplify right side
    691.68x = 540,798.40
  5. Step 5: Solve for x
    x = 540,798.40/691.68
  6. Step 6: Final answer
    x = 781.86

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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.