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Finding the Fourth Proportional to 1,298.80, 1,947.93 and 568.18

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Solution

The fourth proportional to 1,298.80, 1,947.93 and 568.18 is: 852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.80 : 1,947.93 = 568.18 : x
  2. Step 2: Convert to fraction form
    1,298.80/1,947.93 = 568.18/x
  3. Step 3: Cross multiply
    1,298.80x = 1,947.93 × 568.18
  4. Step 4: Simplify right side
    1,298.80x = 1,106,774.87
  5. Step 5: Solve for x
    x = 1,106,774.87/1,298.80
  6. Step 6: Final answer
    x = 852.15

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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.