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Finding the Fourth Proportional to 947.80, 1,309.74 and 714.52

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Solution

The fourth proportional to 947.80, 1,309.74 and 714.52 is: 987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.80 : 1,309.74 = 714.52 : x
  2. Step 2: Convert to fraction form
    947.80/1,309.74 = 714.52/x
  3. Step 3: Cross multiply
    947.80x = 1,309.74 × 714.52
  4. Step 4: Simplify right side
    947.80x = 935,835.42
  5. Step 5: Solve for x
    x = 935,835.42/947.80
  6. Step 6: Final answer
    x = 987.38

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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.