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Finding the Fourth Proportional to 698.32, 1,045.24 and 505.04

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Solution

The fourth proportional to 698.32, 1,045.24 and 505.04 is: 755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.32 : 1,045.24 = 505.04 : x
  2. Step 2: Convert to fraction form
    698.32/1,045.24 = 505.04/x
  3. Step 3: Cross multiply
    698.32x = 1,045.24 × 505.04
  4. Step 4: Simplify right side
    698.32x = 527,888.01
  5. Step 5: Solve for x
    x = 527,888.01/698.32
  6. Step 6: Final answer
    x = 755.94

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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.