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Finding the Fourth Proportional to 590.49, 880.72 and 571.58

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Solution

The fourth proportional to 590.49, 880.72 and 571.58 is: 852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.49 : 880.72 = 571.58 : x
  2. Step 2: Convert to fraction form
    590.49/880.72 = 571.58/x
  3. Step 3: Cross multiply
    590.49x = 880.72 × 571.58
  4. Step 4: Simplify right side
    590.49x = 503,405.10
  5. Step 5: Solve for x
    x = 503,405.10/590.49
  6. Step 6: Final answer
    x = 852.52

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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.