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Finding the Fourth Proportional to 691.16, 1,041.50 and 572.10

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Solution

The fourth proportional to 691.16, 1,041.50 and 572.10 is: 862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.16 : 1,041.50 = 572.10 : x
  2. Step 2: Convert to fraction form
    691.16/1,041.50 = 572.10/x
  3. Step 3: Cross multiply
    691.16x = 1,041.50 × 572.10
  4. Step 4: Simplify right side
    691.16x = 595,842.15
  5. Step 5: Solve for x
    x = 595,842.15/691.16
  6. Step 6: Final answer
    x = 862.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.