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Finding the Fourth Proportional to 525.46, 724.97 and 304.35

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Solution

The fourth proportional to 525.46, 724.97 and 304.35 is: 419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.46 : 724.97 = 304.35 : x
  2. Step 2: Convert to fraction form
    525.46/724.97 = 304.35/x
  3. Step 3: Cross multiply
    525.46x = 724.97 × 304.35
  4. Step 4: Simplify right side
    525.46x = 220,643.10
  5. Step 5: Solve for x
    x = 220,643.10/525.46
  6. Step 6: Final answer
    x = 419.91

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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.