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Finding the Fourth Proportional to 1,135.32, 1,567.30 and 715.89

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Solution

The fourth proportional to 1,135.32, 1,567.30 and 715.89 is: 988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.32 : 1,567.30 = 715.89 : x
  2. Step 2: Convert to fraction form
    1,135.32/1,567.30 = 715.89/x
  3. Step 3: Cross multiply
    1,135.32x = 1,567.30 × 715.89
  4. Step 4: Simplify right side
    1,135.32x = 1,122,011.01
  5. Step 5: Solve for x
    x = 1,122,011.01/1,135.32
  6. Step 6: Final answer
    x = 988.28

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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.