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Finding the Fourth Proportional to 509.44, 760.49 and 470.86

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Solution

The fourth proportional to 509.44, 760.49 and 470.86 is: 702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.44 : 760.49 = 470.86 : x
  2. Step 2: Convert to fraction form
    509.44/760.49 = 470.86/x
  3. Step 3: Cross multiply
    509.44x = 760.49 × 470.86
  4. Step 4: Simplify right side
    509.44x = 358,084.32
  5. Step 5: Solve for x
    x = 358,084.32/509.44
  6. Step 6: Final answer
    x = 702.90

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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.