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Finding the Fourth Proportional to 1,242.76, 1,714.94 and 718.96

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Solution

The fourth proportional to 1,242.76, 1,714.94 and 718.96 is: 992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.76 : 1,714.94 = 718.96 : x
  2. Step 2: Convert to fraction form
    1,242.76/1,714.94 = 718.96/x
  3. Step 3: Cross multiply
    1,242.76x = 1,714.94 × 718.96
  4. Step 4: Simplify right side
    1,242.76x = 1,232,973.26
  5. Step 5: Solve for x
    x = 1,232,973.26/1,242.76
  6. Step 6: Final answer
    x = 992.12

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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.