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Finding the Fourth Proportional to 617.07, 921.76 and 462.16

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Solution

The fourth proportional to 617.07, 921.76 and 462.16 is: 690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.07 : 921.76 = 462.16 : x
  2. Step 2: Convert to fraction form
    617.07/921.76 = 462.16/x
  3. Step 3: Cross multiply
    617.07x = 921.76 × 462.16
  4. Step 4: Simplify right side
    617.07x = 426,000.60
  5. Step 5: Solve for x
    x = 426,000.60/617.07
  6. Step 6: Final answer
    x = 690.36

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1.5x scale

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.