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Finding the Fourth Proportional to 1,134.09, 1,565.32 and 692.37

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Solution

The fourth proportional to 1,134.09, 1,565.32 and 692.37 is: 955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.09 : 1,565.32 = 692.37 : x
  2. Step 2: Convert to fraction form
    1,134.09/1,565.32 = 692.37/x
  3. Step 3: Cross multiply
    1,134.09x = 1,565.32 × 692.37
  4. Step 4: Simplify right side
    1,134.09x = 1,083,781.47
  5. Step 5: Solve for x
    x = 1,083,781.47/1,134.09
  6. Step 6: Final answer
    x = 955.64

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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.