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Finding the Fourth Proportional to 766.08, 1,056.57 and 470.82

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Solution

The fourth proportional to 766.08, 1,056.57 and 470.82 is: 649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.08 : 1,056.57 = 470.82 : x
  2. Step 2: Convert to fraction form
    766.08/1,056.57 = 470.82/x
  3. Step 3: Cross multiply
    766.08x = 1,056.57 × 470.82
  4. Step 4: Simplify right side
    766.08x = 497,454.29
  5. Step 5: Solve for x
    x = 497,454.29/766.08
  6. Step 6: Final answer
    x = 649.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.