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Finding the Fourth Proportional to 1,041.77, 1,562.18 and 383.47

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Solution

The fourth proportional to 1,041.77, 1,562.18 and 383.47 is: 575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.77 : 1,562.18 = 383.47 : x
  2. Step 2: Convert to fraction form
    1,041.77/1,562.18 = 383.47/x
  3. Step 3: Cross multiply
    1,041.77x = 1,562.18 × 383.47
  4. Step 4: Simplify right side
    1,041.77x = 599,043.34
  5. Step 5: Solve for x
    x = 599,043.34/1,041.77
  6. Step 6: Final answer
    x = 575.02

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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.