Home / 1,421.80-1,959.78-1,159.40

Finding the Fourth Proportional to 1,421.80, 1,959.78 and 1,159.40

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Solution

The fourth proportional to 1,421.80, 1,959.78 and 1,159.40 is: 1,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.80 : 1,959.78 = 1,159.40 : x
  2. Step 2: Convert to fraction form
    1,421.80/1,959.78 = 1,159.40/x
  3. Step 3: Cross multiply
    1,421.80x = 1,959.78 × 1,159.40
  4. Step 4: Simplify right side
    1,421.80x = 2,272,168.93
  5. Step 5: Solve for x
    x = 2,272,168.93/1,421.80
  6. Step 6: Final answer
    x = 1,598.09

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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.