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Finding the Fourth Proportional to 1,041.59, 1,562.04 and 348.05

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Solution

The fourth proportional to 1,041.59, 1,562.04 and 348.05 is: 521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.59 : 1,562.04 = 348.05 : x
  2. Step 2: Convert to fraction form
    1,041.59/1,562.04 = 348.05/x
  3. Step 3: Cross multiply
    1,041.59x = 1,562.04 × 348.05
  4. Step 4: Simplify right side
    1,041.59x = 543,668.02
  5. Step 5: Solve for x
    x = 543,668.02/1,041.59
  6. Step 6: Final answer
    x = 521.96

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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.