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Finding the Fourth Proportional to 1,089.49, 1,630.17 and 649.13

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Solution

The fourth proportional to 1,089.49, 1,630.17 and 649.13 is: 971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.49 : 1,630.17 = 649.13 : x
  2. Step 2: Convert to fraction form
    1,089.49/1,630.17 = 649.13/x
  3. Step 3: Cross multiply
    1,089.49x = 1,630.17 × 649.13
  4. Step 4: Simplify right side
    1,089.49x = 1,058,192.25
  5. Step 5: Solve for x
    x = 1,058,192.25/1,089.49
  6. Step 6: Final answer
    x = 971.27

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1.5x scale

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.