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Finding the Fourth Proportional to 503.11, 753.86 and 297.87

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Solution

The fourth proportional to 503.11, 753.86 and 297.87 is: 446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.11 : 753.86 = 297.87 : x
  2. Step 2: Convert to fraction form
    503.11/753.86 = 297.87/x
  3. Step 3: Cross multiply
    503.11x = 753.86 × 297.87
  4. Step 4: Simplify right side
    503.11x = 224,547.02
  5. Step 5: Solve for x
    x = 224,547.02/503.11
  6. Step 6: Final answer
    x = 446.32

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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.