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Finding the Fourth Proportional to 1,091.24, 1,507.10 and 950.70

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Solution

The fourth proportional to 1,091.24, 1,507.10 and 950.70 is: 1,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.24 : 1,507.10 = 950.70 : x
  2. Step 2: Convert to fraction form
    1,091.24/1,507.10 = 950.70/x
  3. Step 3: Cross multiply
    1,091.24x = 1,507.10 × 950.70
  4. Step 4: Simplify right side
    1,091.24x = 1,432,799.97
  5. Step 5: Solve for x
    x = 1,432,799.97/1,091.24
  6. Step 6: Final answer
    x = 1,313.00

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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.