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Finding the Fourth Proportional to 527.99, 724.61 and 478.78

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Solution

The fourth proportional to 527.99, 724.61 and 478.78 is: 657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.99 : 724.61 = 478.78 : x
  2. Step 2: Convert to fraction form
    527.99/724.61 = 478.78/x
  3. Step 3: Cross multiply
    527.99x = 724.61 × 478.78
  4. Step 4: Simplify right side
    527.99x = 346,928.16
  5. Step 5: Solve for x
    x = 346,928.16/527.99
  6. Step 6: Final answer
    x = 657.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.