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Finding the Fourth Proportional to 525.30, 724.44 and 437.07

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Solution

The fourth proportional to 525.30, 724.44 and 437.07 is: 602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.30 : 724.44 = 437.07 : x
  2. Step 2: Convert to fraction form
    525.30/724.44 = 437.07/x
  3. Step 3: Cross multiply
    525.30x = 724.44 × 437.07
  4. Step 4: Simplify right side
    525.30x = 316,631.23
  5. Step 5: Solve for x
    x = 316,631.23/525.30
  6. Step 6: Final answer
    x = 602.76

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1.5x scale

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.