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Finding the Fourth Proportional to 992.35, 1,488.45 and 407.20

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Solution

The fourth proportional to 992.35, 1,488.45 and 407.20 is: 610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.35 : 1,488.45 = 407.20 : x
  2. Step 2: Convert to fraction form
    992.35/1,488.45 = 407.20/x
  3. Step 3: Cross multiply
    992.35x = 1,488.45 × 407.20
  4. Step 4: Simplify right side
    992.35x = 606,100.48
  5. Step 5: Solve for x
    x = 606,100.48/992.35
  6. Step 6: Final answer
    x = 610.77

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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.