Home / 1,298.34-1,947.10-373.64

Finding the Fourth Proportional to 1,298.34, 1,947.10 and 373.64

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Solution

The fourth proportional to 1,298.34, 1,947.10 and 373.64 is: 560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.34 : 1,947.10 = 373.64 : x
  2. Step 2: Convert to fraction form
    1,298.34/1,947.10 = 373.64/x
  3. Step 3: Cross multiply
    1,298.34x = 1,947.10 × 373.64
  4. Step 4: Simplify right side
    1,298.34x = 727,514.44
  5. Step 5: Solve for x
    x = 727,514.44/1,298.34
  6. Step 6: Final answer
    x = 560.34

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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.