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Finding the Fourth Proportional to 1,135.31, 1,566.75 and 638.00

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Solution

The fourth proportional to 1,135.31, 1,566.75 and 638.00 is: 880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.31 : 1,566.75 = 638.00 : x
  2. Step 2: Convert to fraction form
    1,135.31/1,566.75 = 638.00/x
  3. Step 3: Cross multiply
    1,135.31x = 1,566.75 × 638.00
  4. Step 4: Simplify right side
    1,135.31x = 999,578.67
  5. Step 5: Solve for x
    x = 999,578.67/1,135.31
  6. Step 6: Final answer
    x = 880.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.