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Finding the Fourth Proportional to 614.16, 915.35 and 609.08

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Solution

The fourth proportional to 614.16, 915.35 and 609.08 is: 907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.16 : 915.35 = 609.08 : x
  2. Step 2: Convert to fraction form
    614.16/915.35 = 609.08/x
  3. Step 3: Cross multiply
    614.16x = 915.35 × 609.08
  4. Step 4: Simplify right side
    614.16x = 557,513.76
  5. Step 5: Solve for x
    x = 557,513.76/614.16
  6. Step 6: Final answer
    x = 907.77

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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.