Home / 1,298.53-1,947.80-567.94

Finding the Fourth Proportional to 1,298.53, 1,947.80 and 567.94

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Solution

The fourth proportional to 1,298.53, 1,947.80 and 567.94 is: 851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.53 : 1,947.80 = 567.94 : x
  2. Step 2: Convert to fraction form
    1,298.53/1,947.80 = 567.94/x
  3. Step 3: Cross multiply
    1,298.53x = 1,947.80 × 567.94
  4. Step 4: Simplify right side
    1,298.53x = 1,106,225.06
  5. Step 5: Solve for x
    x = 1,106,225.06/1,298.53
  6. Step 6: Final answer
    x = 851.90

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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.