Home / 1,159.40-1,746.02-966.26

Finding the Fourth Proportional to 1,159.40, 1,746.02 and 966.26

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Solution

The fourth proportional to 1,159.40, 1,746.02 and 966.26 is: 1,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.40 : 1,746.02 = 966.26 : x
  2. Step 2: Convert to fraction form
    1,159.40/1,746.02 = 966.26/x
  3. Step 3: Cross multiply
    1,159.40x = 1,746.02 × 966.26
  4. Step 4: Simplify right side
    1,159.40x = 1,687,109.29
  5. Step 5: Solve for x
    x = 1,687,109.29/1,159.40
  6. Step 6: Final answer
    x = 1,455.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.