Home / 1,589.47-2,385.30-971.29

Finding the Fourth Proportional to 1,589.47, 2,385.30 and 971.29

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Solution

The fourth proportional to 1,589.47, 2,385.30 and 971.29 is: 1,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.47 : 2,385.30 = 971.29 : x
  2. Step 2: Convert to fraction form
    1,589.47/2,385.30 = 971.29/x
  3. Step 3: Cross multiply
    1,589.47x = 2,385.30 × 971.29
  4. Step 4: Simplify right side
    1,589.47x = 2,316,819.20
  5. Step 5: Solve for x
    x = 2,316,819.20/1,589.47
  6. Step 6: Final answer
    x = 1,457.60

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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.