Home / 1,298.13-1,947.80-567.91

Finding the Fourth Proportional to 1,298.13, 1,947.80 and 567.91

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Solution

The fourth proportional to 1,298.13, 1,947.80 and 567.91 is: 852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.13 : 1,947.80 = 567.91 : x
  2. Step 2: Convert to fraction form
    1,298.13/1,947.80 = 567.91/x
  3. Step 3: Cross multiply
    1,298.13x = 1,947.80 × 567.91
  4. Step 4: Simplify right side
    1,298.13x = 1,106,175.10
  5. Step 5: Solve for x
    x = 1,106,175.10/1,298.13
  6. Step 6: Final answer
    x = 852.13

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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.