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Finding the Fourth Proportional to 589.78, 880.66 and 527.68

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Solution

The fourth proportional to 589.78, 880.66 and 527.68 is: 787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 880.66 = 527.68 : x
  2. Step 2: Convert to fraction form
    589.78/880.66 = 527.68/x
  3. Step 3: Cross multiply
    589.78x = 880.66 × 527.68
  4. Step 4: Simplify right side
    589.78x = 464,706.67
  5. Step 5: Solve for x
    x = 464,706.67/589.78
  6. Step 6: Final answer
    x = 787.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.