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Finding the Fourth Proportional to 1,241.80, 1,710.64 and 1,064.17

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Solution

The fourth proportional to 1,241.80, 1,710.64 and 1,064.17 is: 1,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.80 : 1,710.64 = 1,064.17 : x
  2. Step 2: Convert to fraction form
    1,241.80/1,710.64 = 1,064.17/x
  3. Step 3: Cross multiply
    1,241.80x = 1,710.64 × 1,064.17
  4. Step 4: Simplify right side
    1,241.80x = 1,820,411.77
  5. Step 5: Solve for x
    x = 1,820,411.77/1,241.80
  6. Step 6: Final answer
    x = 1,465.95

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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.