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Finding the Fourth Proportional to 1,740.62, 2,607.66 and 862.10

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Solution

The fourth proportional to 1,740.62, 2,607.66 and 862.10 is: 1,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.62 : 2,607.66 = 862.10 : x
  2. Step 2: Convert to fraction form
    1,740.62/2,607.66 = 862.10/x
  3. Step 3: Cross multiply
    1,740.62x = 2,607.66 × 862.10
  4. Step 4: Simplify right side
    1,740.62x = 2,248,063.69
  5. Step 5: Solve for x
    x = 2,248,063.69/1,740.62
  6. Step 6: Final answer
    x = 1,291.53

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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.