Home / 1,265.62-1,746.54-706.14

Finding the Fourth Proportional to 1,265.62, 1,746.54 and 706.14

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Solution

The fourth proportional to 1,265.62, 1,746.54 and 706.14 is: 974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.62 : 1,746.54 = 706.14 : x
  2. Step 2: Convert to fraction form
    1,265.62/1,746.54 = 706.14/x
  3. Step 3: Cross multiply
    1,265.62x = 1,746.54 × 706.14
  4. Step 4: Simplify right side
    1,265.62x = 1,233,301.76
  5. Step 5: Solve for x
    x = 1,233,301.76/1,265.62
  6. Step 6: Final answer
    x = 974.46

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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.