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Finding the Fourth Proportional to 503.52, 754.80 and 469.23

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Solution

The fourth proportional to 503.52, 754.80 and 469.23 is: 703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.52 : 754.80 = 469.23 : x
  2. Step 2: Convert to fraction form
    503.52/754.80 = 469.23/x
  3. Step 3: Cross multiply
    503.52x = 754.80 × 469.23
  4. Step 4: Simplify right side
    503.52x = 354,174.80
  5. Step 5: Solve for x
    x = 354,174.80/503.52
  6. Step 6: Final answer
    x = 703.40

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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.