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Finding the Fourth Proportional to 1,610.63, 2,417.66 and 686.62

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Solution

The fourth proportional to 1,610.63, 2,417.66 and 686.62 is: 1,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.63 : 2,417.66 = 686.62 : x
  2. Step 2: Convert to fraction form
    1,610.63/2,417.66 = 686.62/x
  3. Step 3: Cross multiply
    1,610.63x = 2,417.66 × 686.62
  4. Step 4: Simplify right side
    1,610.63x = 1,660,009.38
  5. Step 5: Solve for x
    x = 1,660,009.38/1,610.63
  6. Step 6: Final answer
    x = 1,030.66

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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.