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Finding the Fourth Proportional to 1,259.51, 1,882.31 and 931.14

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Solution

The fourth proportional to 1,259.51, 1,882.31 and 931.14 is: 1,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.51 : 1,882.31 = 931.14 : x
  2. Step 2: Convert to fraction form
    1,259.51/1,882.31 = 931.14/x
  3. Step 3: Cross multiply
    1,259.51x = 1,882.31 × 931.14
  4. Step 4: Simplify right side
    1,259.51x = 1,752,689.48
  5. Step 5: Solve for x
    x = 1,752,689.48/1,259.51
  6. Step 6: Final answer
    x = 1,391.57

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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.