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Finding the Fourth Proportional to 590.76, 880.11 and 553.50

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Solution

The fourth proportional to 590.76, 880.11 and 553.50 is: 824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.76 : 880.11 = 553.50 : x
  2. Step 2: Convert to fraction form
    590.76/880.11 = 553.50/x
  3. Step 3: Cross multiply
    590.76x = 880.11 × 553.50
  4. Step 4: Simplify right side
    590.76x = 487,140.89
  5. Step 5: Solve for x
    x = 487,140.89/590.76
  6. Step 6: Final answer
    x = 824.60

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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.