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Finding the Fourth Proportional to 688.32, 948.42 and 501.48

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Solution

The fourth proportional to 688.32, 948.42 and 501.48 is: 690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.32 : 948.42 = 501.48 : x
  2. Step 2: Convert to fraction form
    688.32/948.42 = 501.48/x
  3. Step 3: Cross multiply
    688.32x = 948.42 × 501.48
  4. Step 4: Simplify right side
    688.32x = 475,613.66
  5. Step 5: Solve for x
    x = 475,613.66/688.32
  6. Step 6: Final answer
    x = 690.98

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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.