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Finding the Fourth Proportional to 688.57, 1,032.93 and 278.06

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Solution

The fourth proportional to 688.57, 1,032.93 and 278.06 is: 417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.57 : 1,032.93 = 278.06 : x
  2. Step 2: Convert to fraction form
    688.57/1,032.93 = 278.06/x
  3. Step 3: Cross multiply
    688.57x = 1,032.93 × 278.06
  4. Step 4: Simplify right side
    688.57x = 287,211.35
  5. Step 5: Solve for x
    x = 287,211.35/688.57
  6. Step 6: Final answer
    x = 417.11

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Why These Related Problems?

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