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Finding the Fourth Proportional to 503.10, 753.75 and 297.48

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Solution

The fourth proportional to 503.10, 753.75 and 297.48 is: 445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.10 : 753.75 = 297.48 : x
  2. Step 2: Convert to fraction form
    503.10/753.75 = 297.48/x
  3. Step 3: Cross multiply
    503.10x = 753.75 × 297.48
  4. Step 4: Simplify right side
    503.10x = 224,225.55
  5. Step 5: Solve for x
    x = 224,225.55/503.10
  6. Step 6: Final answer
    x = 445.69

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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.