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Finding the Fourth Proportional to 688.14, 948.96 and 631.23

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Solution

The fourth proportional to 688.14, 948.96 and 631.23 is: 870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.14 : 948.96 = 631.23 : x
  2. Step 2: Convert to fraction form
    688.14/948.96 = 631.23/x
  3. Step 3: Cross multiply
    688.14x = 948.96 × 631.23
  4. Step 4: Simplify right side
    688.14x = 599,012.02
  5. Step 5: Solve for x
    x = 599,012.02/688.14
  6. Step 6: Final answer
    x = 870.48

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1.5x scale

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.