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Finding the Fourth Proportional to 526.16, 724.98 and 378.32

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Solution

The fourth proportional to 526.16, 724.98 and 378.32 is: 521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.16 : 724.98 = 378.32 : x
  2. Step 2: Convert to fraction form
    526.16/724.98 = 378.32/x
  3. Step 3: Cross multiply
    526.16x = 724.98 × 378.32
  4. Step 4: Simplify right side
    526.16x = 274,274.43
  5. Step 5: Solve for x
    x = 274,274.43/526.16
  6. Step 6: Final answer
    x = 521.28

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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.