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Finding the Fourth Proportional to 690, 951.78 and 524.04

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Solution

The fourth proportional to 690, 951.78 and 524.04 is: 722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    690 : 951.78 = 524.04 : x
  2. Step 2: Convert to fraction form
    690/951.78 = 524.04/x
  3. Step 3: Cross multiply
    690x = 951.78 × 524.04
  4. Step 4: Simplify right side
    690x = 498,770.79
  5. Step 5: Solve for x
    x = 498,770.79/690
  6. Step 6: Final answer
    x = 722.86

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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.