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Finding the Fourth Proportional to 1,135.60, 1,567.14 and 638.35

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Solution

The fourth proportional to 1,135.60, 1,567.14 and 638.35 is: 880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.60 : 1,567.14 = 638.35 : x
  2. Step 2: Convert to fraction form
    1,135.60/1,567.14 = 638.35/x
  3. Step 3: Cross multiply
    1,135.60x = 1,567.14 × 638.35
  4. Step 4: Simplify right side
    1,135.60x = 1,000,383.82
  5. Step 5: Solve for x
    x = 1,000,383.82/1,135.60
  6. Step 6: Final answer
    x = 880.93

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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.