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Finding the Fourth Proportional to 589.80, 879.66 and 569.16

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Solution

The fourth proportional to 589.80, 879.66 and 569.16 is: 848.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 879.66 = 569.16 : x
  2. Step 2: Convert to fraction form
    589.80/879.66 = 569.16/x
  3. Step 3: Cross multiply
    589.80x = 879.66 × 569.16
  4. Step 4: Simplify right side
    589.80x = 500,667.29
  5. Step 5: Solve for x
    x = 500,667.29/589.80
  6. Step 6: Final answer
    x = 848.88

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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.