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Finding the Fourth Proportional to 691.18, 1,035.51 and 402.82

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Solution

The fourth proportional to 691.18, 1,035.51 and 402.82 is: 603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.18 : 1,035.51 = 402.82 : x
  2. Step 2: Convert to fraction form
    691.18/1,035.51 = 402.82/x
  3. Step 3: Cross multiply
    691.18x = 1,035.51 × 402.82
  4. Step 4: Simplify right side
    691.18x = 417,124.14
  5. Step 5: Solve for x
    x = 417,124.14/691.18
  6. Step 6: Final answer
    x = 603.50

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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.