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Finding the Fourth Proportional to 1,006.14, 1,501.57 and 980.22

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Solution

The fourth proportional to 1,006.14, 1,501.57 and 980.22 is: 1,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.14 : 1,501.57 = 980.22 : x
  2. Step 2: Convert to fraction form
    1,006.14/1,501.57 = 980.22/x
  3. Step 3: Cross multiply
    1,006.14x = 1,501.57 × 980.22
  4. Step 4: Simplify right side
    1,006.14x = 1,471,868.95
  5. Step 5: Solve for x
    x = 1,471,868.95/1,006.14
  6. Step 6: Final answer
    x = 1,462.89

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1.5x scale

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.