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Finding the Fourth Proportional to 638.48, 957.88 and 508.98

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Solution

The fourth proportional to 638.48, 957.88 and 508.98 is: 763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.48 : 957.88 = 508.98 : x
  2. Step 2: Convert to fraction form
    638.48/957.88 = 508.98/x
  3. Step 3: Cross multiply
    638.48x = 957.88 × 508.98
  4. Step 4: Simplify right side
    638.48x = 487,541.76
  5. Step 5: Solve for x
    x = 487,541.76/638.48
  6. Step 6: Final answer
    x = 763.60

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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.