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Finding the Fourth Proportional to 616.77, 928.26 and 463.50

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Solution

The fourth proportional to 616.77, 928.26 and 463.50 is: 697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.77 : 928.26 = 463.50 : x
  2. Step 2: Convert to fraction form
    616.77/928.26 = 463.50/x
  3. Step 3: Cross multiply
    616.77x = 928.26 × 463.50
  4. Step 4: Simplify right side
    616.77x = 430,248.51
  5. Step 5: Solve for x
    x = 430,248.51/616.77
  6. Step 6: Final answer
    x = 697.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.