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Finding the Fourth Proportional to 589.65, 879.65 and 542.02

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Solution

The fourth proportional to 589.65, 879.65 and 542.02 is: 808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.65 : 879.65 = 542.02 : x
  2. Step 2: Convert to fraction form
    589.65/879.65 = 542.02/x
  3. Step 3: Cross multiply
    589.65x = 879.65 × 542.02
  4. Step 4: Simplify right side
    589.65x = 476,787.89
  5. Step 5: Solve for x
    x = 476,787.89/589.65
  6. Step 6: Final answer
    x = 808.59

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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.