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Finding the Fourth Proportional to 581.07, 800.96 and 569.55

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Solution

The fourth proportional to 581.07, 800.96 and 569.55 is: 785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.07 : 800.96 = 569.55 : x
  2. Step 2: Convert to fraction form
    581.07/800.96 = 569.55/x
  3. Step 3: Cross multiply
    581.07x = 800.96 × 569.55
  4. Step 4: Simplify right side
    581.07x = 456,183.92
  5. Step 5: Solve for x
    x = 456,183.92/581.07
  6. Step 6: Final answer
    x = 785.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.