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Finding the Fourth Proportional to 614.70, 916.70 and 609.30

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Solution

The fourth proportional to 614.70, 916.70 and 609.30 is: 908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.70 : 916.70 = 609.30 : x
  2. Step 2: Convert to fraction form
    614.70/916.70 = 609.30/x
  3. Step 3: Cross multiply
    614.70x = 916.70 × 609.30
  4. Step 4: Simplify right side
    614.70x = 558,542.26
  5. Step 5: Solve for x
    x = 558,542.26/614.70
  6. Step 6: Final answer
    x = 908.64

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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.