Home / 1,590.18-2,386.80-769.03

Finding the Fourth Proportional to 1,590.18, 2,386.80 and 769.03

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Solution

The fourth proportional to 1,590.18, 2,386.80 and 769.03 is: 1,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.18 : 2,386.80 = 769.03 : x
  2. Step 2: Convert to fraction form
    1,590.18/2,386.80 = 769.03/x
  3. Step 3: Cross multiply
    1,590.18x = 2,386.80 × 769.03
  4. Step 4: Simplify right side
    1,590.18x = 1,835,505.02
  5. Step 5: Solve for x
    x = 1,835,505.02/1,590.18
  6. Step 6: Final answer
    x = 1,154.28

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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.