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Finding the Fourth Proportional to 503.06, 753.30 and 462.96

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Solution

The fourth proportional to 503.06, 753.30 and 462.96 is: 693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.06 : 753.30 = 462.96 : x
  2. Step 2: Convert to fraction form
    503.06/753.30 = 462.96/x
  3. Step 3: Cross multiply
    503.06x = 753.30 × 462.96
  4. Step 4: Simplify right side
    503.06x = 348,747.77
  5. Step 5: Solve for x
    x = 348,747.77/503.06
  6. Step 6: Final answer
    x = 693.26

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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.