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Finding the Fourth Proportional to 621.84, 859.32 and 456.24

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Solution

The fourth proportional to 621.84, 859.32 and 456.24 is: 630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.84 : 859.32 = 456.24 : x
  2. Step 2: Convert to fraction form
    621.84/859.32 = 456.24/x
  3. Step 3: Cross multiply
    621.84x = 859.32 × 456.24
  4. Step 4: Simplify right side
    621.84x = 392,056.16
  5. Step 5: Solve for x
    x = 392,056.16/621.84
  6. Step 6: Final answer
    x = 630.48

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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.