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Finding the Fourth Proportional to 614.60, 916.50 and 609.14

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Solution

The fourth proportional to 614.60, 916.50 and 609.14 is: 908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.60 : 916.50 = 609.14 : x
  2. Step 2: Convert to fraction form
    614.60/916.50 = 609.14/x
  3. Step 3: Cross multiply
    614.60x = 916.50 × 609.14
  4. Step 4: Simplify right side
    614.60x = 558,276.81
  5. Step 5: Solve for x
    x = 558,276.81/614.60
  6. Step 6: Final answer
    x = 908.36

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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.