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Finding the Fourth Proportional to 927.01, 1,390.76 and 407.06

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Solution

The fourth proportional to 927.01, 1,390.76 and 407.06 is: 610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.01 : 1,390.76 = 407.06 : x
  2. Step 2: Convert to fraction form
    927.01/1,390.76 = 407.06/x
  3. Step 3: Cross multiply
    927.01x = 1,390.76 × 407.06
  4. Step 4: Simplify right side
    927.01x = 566,122.77
  5. Step 5: Solve for x
    x = 566,122.77/927.01
  6. Step 6: Final answer
    x = 610.70

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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.