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Finding the Fourth Proportional to 526.40, 724.92 and 427.40

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Solution

The fourth proportional to 526.40, 724.92 and 427.40 is: 588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.40 : 724.92 = 427.40 : x
  2. Step 2: Convert to fraction form
    526.40/724.92 = 427.40/x
  3. Step 3: Cross multiply
    526.40x = 724.92 × 427.40
  4. Step 4: Simplify right side
    526.40x = 309,830.81
  5. Step 5: Solve for x
    x = 309,830.81/526.40
  6. Step 6: Final answer
    x = 588.58

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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.