Home / 1,265.74-1,746.68-706.20

Finding the Fourth Proportional to 1,265.74, 1,746.68 and 706.20

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Solution

The fourth proportional to 1,265.74, 1,746.68 and 706.20 is: 974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.74 : 1,746.68 = 706.20 : x
  2. Step 2: Convert to fraction form
    1,265.74/1,746.68 = 706.20/x
  3. Step 3: Cross multiply
    1,265.74x = 1,746.68 × 706.20
  4. Step 4: Simplify right side
    1,265.74x = 1,233,495.33
  5. Step 5: Solve for x
    x = 1,233,495.33/1,265.74
  6. Step 6: Final answer
    x = 974.53

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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.