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Finding the Fourth Proportional to 1,070.67, 1,602.09 and 632.13

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Solution

The fourth proportional to 1,070.67, 1,602.09 and 632.13 is: 945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.67 : 1,602.09 = 632.13 : x
  2. Step 2: Convert to fraction form
    1,070.67/1,602.09 = 632.13/x
  3. Step 3: Cross multiply
    1,070.67x = 1,602.09 × 632.13
  4. Step 4: Simplify right side
    1,070.67x = 1,012,729.15
  5. Step 5: Solve for x
    x = 1,012,729.15/1,070.67
  6. Step 6: Final answer
    x = 945.88

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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.