Home / 1,030.80-1,422.48-565.04

Finding the Fourth Proportional to 1,030.80, 1,422.48 and 565.04

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Solution

The fourth proportional to 1,030.80, 1,422.48 and 565.04 is: 779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.80 : 1,422.48 = 565.04 : x
  2. Step 2: Convert to fraction form
    1,030.80/1,422.48 = 565.04/x
  3. Step 3: Cross multiply
    1,030.80x = 1,422.48 × 565.04
  4. Step 4: Simplify right side
    1,030.80x = 803,758.10
  5. Step 5: Solve for x
    x = 803,758.10/1,030.80
  6. Step 6: Final answer
    x = 779.74

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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.