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Finding the Fourth Proportional to 1,135.47, 1,567.55 and 764.40

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Solution

The fourth proportional to 1,135.47, 1,567.55 and 764.40 is: 1,055.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.47 : 1,567.55 = 764.40 : x
  2. Step 2: Convert to fraction form
    1,135.47/1,567.55 = 764.40/x
  3. Step 3: Cross multiply
    1,135.47x = 1,567.55 × 764.40
  4. Step 4: Simplify right side
    1,135.47x = 1,198,235.22
  5. Step 5: Solve for x
    x = 1,198,235.22/1,135.47
  6. Step 6: Final answer
    x = 1,055.28

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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.