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Finding the Fourth Proportional to 724.32, 999.54 and 503.67

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Solution

The fourth proportional to 724.32, 999.54 and 503.67 is: 695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.32 : 999.54 = 503.67 : x
  2. Step 2: Convert to fraction form
    724.32/999.54 = 503.67/x
  3. Step 3: Cross multiply
    724.32x = 999.54 × 503.67
  4. Step 4: Simplify right side
    724.32x = 503,438.31
  5. Step 5: Solve for x
    x = 503,438.31/724.32
  6. Step 6: Final answer
    x = 695.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.