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Finding the Fourth Proportional to 526.36, 724.20 and 456.20

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Solution

The fourth proportional to 526.36, 724.20 and 456.20 is: 627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.36 : 724.20 = 456.20 : x
  2. Step 2: Convert to fraction form
    526.36/724.20 = 456.20/x
  3. Step 3: Cross multiply
    526.36x = 724.20 × 456.20
  4. Step 4: Simplify right side
    526.36x = 330,380.04
  5. Step 5: Solve for x
    x = 330,380.04/526.36
  6. Step 6: Final answer
    x = 627.67

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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.