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Finding the Fourth Proportional to 590.56, 880.16 and 575.20

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Solution

The fourth proportional to 590.56, 880.16 and 575.20 is: 857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.56 : 880.16 = 575.20 : x
  2. Step 2: Convert to fraction form
    590.56/880.16 = 575.20/x
  3. Step 3: Cross multiply
    590.56x = 880.16 × 575.20
  4. Step 4: Simplify right side
    590.56x = 506,268.03
  5. Step 5: Solve for x
    x = 506,268.03/590.56
  6. Step 6: Final answer
    x = 857.27

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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.