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Finding the Fourth Proportional to 1,101.49, 1,650.80 and 614.23

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Solution

The fourth proportional to 1,101.49, 1,650.80 and 614.23 is: 920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.49 : 1,650.80 = 614.23 : x
  2. Step 2: Convert to fraction form
    1,101.49/1,650.80 = 614.23/x
  3. Step 3: Cross multiply
    1,101.49x = 1,650.80 × 614.23
  4. Step 4: Simplify right side
    1,101.49x = 1,013,967.81
  5. Step 5: Solve for x
    x = 1,013,967.81/1,101.49
  6. Step 6: Final answer
    x = 920.54

Related Problems

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Double scale
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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.