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Finding the Fourth Proportional to 503.65, 753.99 and 374.23

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Solution

The fourth proportional to 503.65, 753.99 and 374.23 is: 560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.65 : 753.99 = 374.23 : x
  2. Step 2: Convert to fraction form
    503.65/753.99 = 374.23/x
  3. Step 3: Cross multiply
    503.65x = 753.99 × 374.23
  4. Step 4: Simplify right side
    503.65x = 282,165.22
  5. Step 5: Solve for x
    x = 282,165.22/503.65
  6. Step 6: Final answer
    x = 560.24

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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.