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Finding the Fourth Proportional to 1,461.90, 2,017.50 and 864.58

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Solution

The fourth proportional to 1,461.90, 2,017.50 and 864.58 is: 1,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.90 : 2,017.50 = 864.58 : x
  2. Step 2: Convert to fraction form
    1,461.90/2,017.50 = 864.58/x
  3. Step 3: Cross multiply
    1,461.90x = 2,017.50 × 864.58
  4. Step 4: Simplify right side
    1,461.90x = 1,744,290.15
  5. Step 5: Solve for x
    x = 1,744,290.15/1,461.90
  6. Step 6: Final answer
    x = 1,193.17

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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.