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Finding the Fourth Proportional to 402.48, 599.76 and 384.48

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Solution

The fourth proportional to 402.48, 599.76 and 384.48 is: 572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.48 : 599.76 = 384.48 : x
  2. Step 2: Convert to fraction form
    402.48/599.76 = 384.48/x
  3. Step 3: Cross multiply
    402.48x = 599.76 × 384.48
  4. Step 4: Simplify right side
    402.48x = 230,595.72
  5. Step 5: Solve for x
    x = 230,595.72/402.48
  6. Step 6: Final answer
    x = 572.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.