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Finding the Fourth Proportional to 1,262.76, 1,742.60 and 703.29

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Solution

The fourth proportional to 1,262.76, 1,742.60 and 703.29 is: 970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.76 : 1,742.60 = 703.29 : x
  2. Step 2: Convert to fraction form
    1,262.76/1,742.60 = 703.29/x
  3. Step 3: Cross multiply
    1,262.76x = 1,742.60 × 703.29
  4. Step 4: Simplify right side
    1,262.76x = 1,225,549.64
  5. Step 5: Solve for x
    x = 1,225,549.64/1,262.76
  6. Step 6: Final answer
    x = 970.53

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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.