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Finding the Fourth Proportional to 614.79, 920.93 and 511.74

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Solution

The fourth proportional to 614.79, 920.93 and 511.74 is: 766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.79 : 920.93 = 511.74 : x
  2. Step 2: Convert to fraction form
    614.79/920.93 = 511.74/x
  3. Step 3: Cross multiply
    614.79x = 920.93 × 511.74
  4. Step 4: Simplify right side
    614.79x = 471,279.53
  5. Step 5: Solve for x
    x = 471,279.53/614.79
  6. Step 6: Final answer
    x = 766.57

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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.