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Finding the Fourth Proportional to 989.28, 1,475.12 and 874.16

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Solution

The fourth proportional to 989.28, 1,475.12 and 874.16 is: 1,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.28 : 1,475.12 = 874.16 : x
  2. Step 2: Convert to fraction form
    989.28/1,475.12 = 874.16/x
  3. Step 3: Cross multiply
    989.28x = 1,475.12 × 874.16
  4. Step 4: Simplify right side
    989.28x = 1,289,490.90
  5. Step 5: Solve for x
    x = 1,289,490.90/989.28
  6. Step 6: Final answer
    x = 1,303.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.