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Finding the Fourth Proportional to 1,642.18, 2,462.04 and 777.10

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Solution

The fourth proportional to 1,642.18, 2,462.04 and 777.10 is: 1,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.18 : 2,462.04 = 777.10 : x
  2. Step 2: Convert to fraction form
    1,642.18/2,462.04 = 777.10/x
  3. Step 3: Cross multiply
    1,642.18x = 2,462.04 × 777.10
  4. Step 4: Simplify right side
    1,642.18x = 1,913,251.28
  5. Step 5: Solve for x
    x = 1,913,251.28/1,642.18
  6. Step 6: Final answer
    x = 1,165.07

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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.