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Finding the Fourth Proportional to 552.87, 828.72 and 430.77

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Solution

The fourth proportional to 552.87, 828.72 and 430.77 is: 645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.87 : 828.72 = 430.77 : x
  2. Step 2: Convert to fraction form
    552.87/828.72 = 430.77/x
  3. Step 3: Cross multiply
    552.87x = 828.72 × 430.77
  4. Step 4: Simplify right side
    552.87x = 356,987.71
  5. Step 5: Solve for x
    x = 356,987.71/552.87
  6. Step 6: Final answer
    x = 645.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.