Home / 1,430.90-1,974.65-841.44

Finding the Fourth Proportional to 1,430.90, 1,974.65 and 841.44

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Solution

The fourth proportional to 1,430.90, 1,974.65 and 841.44 is: 1,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.90 : 1,974.65 = 841.44 : x
  2. Step 2: Convert to fraction form
    1,430.90/1,974.65 = 841.44/x
  3. Step 3: Cross multiply
    1,430.90x = 1,974.65 × 841.44
  4. Step 4: Simplify right side
    1,430.90x = 1,661,545.29
  5. Step 5: Solve for x
    x = 1,661,545.29/1,430.90
  6. Step 6: Final answer
    x = 1,161.19

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1.5x scale

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.