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Finding the Fourth Proportional to 1,242.17, 1,863.27 and 977.00

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Solution

The fourth proportional to 1,242.17, 1,863.27 and 977.00 is: 1,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.17 : 1,863.27 = 977.00 : x
  2. Step 2: Convert to fraction form
    1,242.17/1,863.27 = 977.00/x
  3. Step 3: Cross multiply
    1,242.17x = 1,863.27 × 977.00
  4. Step 4: Simplify right side
    1,242.17x = 1,820,405.47
  5. Step 5: Solve for x
    x = 1,820,405.47/1,242.17
  6. Step 6: Final answer
    x = 1,465.51

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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.