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Finding the Fourth Proportional to 616.19, 924.29 and 507.76

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Solution

The fourth proportional to 616.19, 924.29 and 507.76 is: 761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.19 : 924.29 = 507.76 : x
  2. Step 2: Convert to fraction form
    616.19/924.29 = 507.76/x
  3. Step 3: Cross multiply
    616.19x = 924.29 × 507.76
  4. Step 4: Simplify right side
    616.19x = 469,317.49
  5. Step 5: Solve for x
    x = 469,317.49/616.19
  6. Step 6: Final answer
    x = 761.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.