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Finding the Fourth Proportional to 691.20, 1,038.83 and 602.10

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Solution

The fourth proportional to 691.20, 1,038.83 and 602.10 is: 904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.20 : 1,038.83 = 602.10 : x
  2. Step 2: Convert to fraction form
    691.20/1,038.83 = 602.10/x
  3. Step 3: Cross multiply
    691.20x = 1,038.83 × 602.10
  4. Step 4: Simplify right side
    691.20x = 625,476.53
  5. Step 5: Solve for x
    x = 625,476.53/691.20
  6. Step 6: Final answer
    x = 904.91

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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.