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Finding the Fourth Proportional to 1,242.66, 1,864.78 and 695.20

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Solution

The fourth proportional to 1,242.66, 1,864.78 and 695.20 is: 1,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.66 : 1,864.78 = 695.20 : x
  2. Step 2: Convert to fraction form
    1,242.66/1,864.78 = 695.20/x
  3. Step 3: Cross multiply
    1,242.66x = 1,864.78 × 695.20
  4. Step 4: Simplify right side
    1,242.66x = 1,296,395.06
  5. Step 5: Solve for x
    x = 1,296,395.06/1,242.66
  6. Step 6: Final answer
    x = 1,043.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.