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Finding the Fourth Proportional to 988.04, 1,480.24 and 501.44

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Solution

The fourth proportional to 988.04, 1,480.24 and 501.44 is: 751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.04 : 1,480.24 = 501.44 : x
  2. Step 2: Convert to fraction form
    988.04/1,480.24 = 501.44/x
  3. Step 3: Cross multiply
    988.04x = 1,480.24 × 501.44
  4. Step 4: Simplify right side
    988.04x = 742,244.77
  5. Step 5: Solve for x
    x = 742,244.77/988.04
  6. Step 6: Final answer
    x = 751.23

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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.