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Finding the Fourth Proportional to 504.45, 752.40 and 470.43

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Solution

The fourth proportional to 504.45, 752.40 and 470.43 is: 701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.45 : 752.40 = 470.43 : x
  2. Step 2: Convert to fraction form
    504.45/752.40 = 470.43/x
  3. Step 3: Cross multiply
    504.45x = 752.40 × 470.43
  4. Step 4: Simplify right side
    504.45x = 353,951.53
  5. Step 5: Solve for x
    x = 353,951.53/504.45
  6. Step 6: Final answer
    x = 701.66

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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.