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Finding the Fourth Proportional to 1,134.84, 1,565.70 and 686.64

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Solution

The fourth proportional to 1,134.84, 1,565.70 and 686.64 is: 947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.84 : 1,565.70 = 686.64 : x
  2. Step 2: Convert to fraction form
    1,134.84/1,565.70 = 686.64/x
  3. Step 3: Cross multiply
    1,134.84x = 1,565.70 × 686.64
  4. Step 4: Simplify right side
    1,134.84x = 1,075,072.25
  5. Step 5: Solve for x
    x = 1,075,072.25/1,134.84
  6. Step 6: Final answer
    x = 947.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.