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Finding the Fourth Proportional to 502.32, 752.58 and 380.64

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Solution

The fourth proportional to 502.32, 752.58 and 380.64 is: 570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.32 : 752.58 = 380.64 : x
  2. Step 2: Convert to fraction form
    502.32/752.58 = 380.64/x
  3. Step 3: Cross multiply
    502.32x = 752.58 × 380.64
  4. Step 4: Simplify right side
    502.32x = 286,462.05
  5. Step 5: Solve for x
    x = 286,462.05/502.32
  6. Step 6: Final answer
    x = 570.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.