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Finding the Fourth Proportional to 590.05, 880.55 and 576.18

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Solution

The fourth proportional to 590.05, 880.55 and 576.18 is: 859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.05 : 880.55 = 576.18 : x
  2. Step 2: Convert to fraction form
    590.05/880.55 = 576.18/x
  3. Step 3: Cross multiply
    590.05x = 880.55 × 576.18
  4. Step 4: Simplify right side
    590.05x = 507,357.82
  5. Step 5: Solve for x
    x = 507,357.82/590.05
  6. Step 6: Final answer
    x = 859.85

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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.