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Finding the Fourth Proportional to 1,091.40, 1,510.02 and 925.08

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Solution

The fourth proportional to 1,091.40, 1,510.02 and 925.08 is: 1,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.40 : 1,510.02 = 925.08 : x
  2. Step 2: Convert to fraction form
    1,091.40/1,510.02 = 925.08/x
  3. Step 3: Cross multiply
    1,091.40x = 1,510.02 × 925.08
  4. Step 4: Simplify right side
    1,091.40x = 1,396,889.30
  5. Step 5: Solve for x
    x = 1,396,889.30/1,091.40
  6. Step 6: Final answer
    x = 1,279.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.