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Finding the Fourth Proportional to 1,560.80, 2,341.40 and 573.68

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Solution

The fourth proportional to 1,560.80, 2,341.40 and 573.68 is: 860.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.80 : 2,341.40 = 573.68 : x
  2. Step 2: Convert to fraction form
    1,560.80/2,341.40 = 573.68/x
  3. Step 3: Cross multiply
    1,560.80x = 2,341.40 × 573.68
  4. Step 4: Simplify right side
    1,560.80x = 1,343,214.35
  5. Step 5: Solve for x
    x = 1,343,214.35/1,560.80
  6. Step 6: Final answer
    x = 860.59

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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.