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Finding the Fourth Proportional to 1,420.76, 2,126.58 and 760.99

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Solution

The fourth proportional to 1,420.76, 2,126.58 and 760.99 is: 1,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.76 : 2,126.58 = 760.99 : x
  2. Step 2: Convert to fraction form
    1,420.76/2,126.58 = 760.99/x
  3. Step 3: Cross multiply
    1,420.76x = 2,126.58 × 760.99
  4. Step 4: Simplify right side
    1,420.76x = 1,618,306.11
  5. Step 5: Solve for x
    x = 1,618,306.11/1,420.76
  6. Step 6: Final answer
    x = 1,139.04

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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.