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Finding the Fourth Proportional to 686.60, 948.23 and 539.00

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Solution

The fourth proportional to 686.60, 948.23 and 539.00 is: 744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.60 : 948.23 = 539.00 : x
  2. Step 2: Convert to fraction form
    686.60/948.23 = 539.00/x
  3. Step 3: Cross multiply
    686.60x = 948.23 × 539.00
  4. Step 4: Simplify right side
    686.60x = 511,088.53
  5. Step 5: Solve for x
    x = 511,088.53/686.60
  6. Step 6: Final answer
    x = 744.38

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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.