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Finding the Fourth Proportional to 1,135.26, 1,566.69 and 637.87

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Solution

The fourth proportional to 1,135.26, 1,566.69 and 637.87 is: 880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.26 : 1,566.69 = 637.87 : x
  2. Step 2: Convert to fraction form
    1,135.26/1,566.69 = 637.87/x
  3. Step 3: Cross multiply
    1,135.26x = 1,566.69 × 637.87
  4. Step 4: Simplify right side
    1,135.26x = 999,341.18
  5. Step 5: Solve for x
    x = 999,341.18/1,135.26
  6. Step 6: Final answer
    x = 880.28

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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.