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Finding the Fourth Proportional to 1,068.71, 1,602.11 and 374.90

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Solution

The fourth proportional to 1,068.71, 1,602.11 and 374.90 is: 562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.71 : 1,602.11 = 374.90 : x
  2. Step 2: Convert to fraction form
    1,068.71/1,602.11 = 374.90/x
  3. Step 3: Cross multiply
    1,068.71x = 1,602.11 × 374.90
  4. Step 4: Simplify right side
    1,068.71x = 600,621.15
  5. Step 5: Solve for x
    x = 600,621.15/1,068.71
  6. Step 6: Final answer
    x = 562.01

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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.