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Finding the Fourth Proportional to 508.40, 764.33 and 470.35

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Solution

The fourth proportional to 508.40, 764.33 and 470.35 is: 707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.40 : 764.33 = 470.35 : x
  2. Step 2: Convert to fraction form
    508.40/764.33 = 470.35/x
  3. Step 3: Cross multiply
    508.40x = 764.33 × 470.35
  4. Step 4: Simplify right side
    508.40x = 359,502.62
  5. Step 5: Solve for x
    x = 359,502.62/508.40
  6. Step 6: Final answer
    x = 707.13

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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.