Home / 1,583.30-2,374.27-543.40

Finding the Fourth Proportional to 1,583.30, 2,374.27 and 543.40

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Solution

The fourth proportional to 1,583.30, 2,374.27 and 543.40 is: 814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.30 : 2,374.27 = 543.40 : x
  2. Step 2: Convert to fraction form
    1,583.30/2,374.27 = 543.40/x
  3. Step 3: Cross multiply
    1,583.30x = 2,374.27 × 543.40
  4. Step 4: Simplify right side
    1,583.30x = 1,290,178.32
  5. Step 5: Solve for x
    x = 1,290,178.32/1,583.30
  6. Step 6: Final answer
    x = 814.87

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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.