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Finding the Fourth Proportional to 691.12, 953.64 and 411.35

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Solution

The fourth proportional to 691.12, 953.64 and 411.35 is: 567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.12 : 953.64 = 411.35 : x
  2. Step 2: Convert to fraction form
    691.12/953.64 = 411.35/x
  3. Step 3: Cross multiply
    691.12x = 953.64 × 411.35
  4. Step 4: Simplify right side
    691.12x = 392,279.81
  5. Step 5: Solve for x
    x = 392,279.81/691.12
  6. Step 6: Final answer
    x = 567.60

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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.