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Finding the Fourth Proportional to 784.44, 1,177.14 and 460.44

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Solution

The fourth proportional to 784.44, 1,177.14 and 460.44 is: 690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.44 : 1,177.14 = 460.44 : x
  2. Step 2: Convert to fraction form
    784.44/1,177.14 = 460.44/x
  3. Step 3: Cross multiply
    784.44x = 1,177.14 × 460.44
  4. Step 4: Simplify right side
    784.44x = 542,002.34
  5. Step 5: Solve for x
    x = 542,002.34/784.44
  6. Step 6: Final answer
    x = 690.94

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1.5x scale

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.