Home / 1,646.31-2,271.91-1,057.65

Finding the Fourth Proportional to 1,646.31, 2,271.91 and 1,057.65

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Solution

The fourth proportional to 1,646.31, 2,271.91 and 1,057.65 is: 1,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.31 : 2,271.91 = 1,057.65 : x
  2. Step 2: Convert to fraction form
    1,646.31/2,271.91 = 1,057.65/x
  3. Step 3: Cross multiply
    1,646.31x = 2,271.91 × 1,057.65
  4. Step 4: Simplify right side
    1,646.31x = 2,402,885.61
  5. Step 5: Solve for x
    x = 2,402,885.61/1,646.31
  6. Step 6: Final answer
    x = 1,459.56

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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.