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Finding the Fourth Proportional to 688.65, 1,032.95 and 277.70

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Solution

The fourth proportional to 688.65, 1,032.95 and 277.70 is: 416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.65 : 1,032.95 = 277.70 : x
  2. Step 2: Convert to fraction form
    688.65/1,032.95 = 277.70/x
  3. Step 3: Cross multiply
    688.65x = 1,032.95 × 277.70
  4. Step 4: Simplify right side
    688.65x = 286,843.66
  5. Step 5: Solve for x
    x = 286,843.66/688.65
  6. Step 6: Final answer
    x = 416.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.