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Finding the Fourth Proportional to 987.48, 1,480.19 and 402.23

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Solution

The fourth proportional to 987.48, 1,480.19 and 402.23 is: 602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.48 : 1,480.19 = 402.23 : x
  2. Step 2: Convert to fraction form
    987.48/1,480.19 = 402.23/x
  3. Step 3: Cross multiply
    987.48x = 1,480.19 × 402.23
  4. Step 4: Simplify right side
    987.48x = 595,378.51
  5. Step 5: Solve for x
    x = 595,378.51/987.48
  6. Step 6: Final answer
    x = 602.93

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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.