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Finding the Fourth Proportional to 691.11, 1,031.60 and 609.10

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Solution

The fourth proportional to 691.11, 1,031.60 and 609.10 is: 909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.11 : 1,031.60 = 609.10 : x
  2. Step 2: Convert to fraction form
    691.11/1,031.60 = 609.10/x
  3. Step 3: Cross multiply
    691.11x = 1,031.60 × 609.10
  4. Step 4: Simplify right side
    691.11x = 628,342.40
  5. Step 5: Solve for x
    x = 628,342.40/691.11
  6. Step 6: Final answer
    x = 909.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.