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Finding the Fourth Proportional to 526.24, 724.79 and 456.30

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Solution

The fourth proportional to 526.24, 724.79 and 456.30 is: 628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.24 : 724.79 = 456.30 : x
  2. Step 2: Convert to fraction form
    526.24/724.79 = 456.30/x
  3. Step 3: Cross multiply
    526.24x = 724.79 × 456.30
  4. Step 4: Simplify right side
    526.24x = 330,722.82
  5. Step 5: Solve for x
    x = 330,722.82/526.24
  6. Step 6: Final answer
    x = 628.47

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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.