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Finding the Fourth Proportional to 581.75, 865.40 and 575.88

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Solution

The fourth proportional to 581.75, 865.40 and 575.88 is: 856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.75 : 865.40 = 575.88 : x
  2. Step 2: Convert to fraction form
    581.75/865.40 = 575.88/x
  3. Step 3: Cross multiply
    581.75x = 865.40 × 575.88
  4. Step 4: Simplify right side
    581.75x = 498,363.67
  5. Step 5: Solve for x
    x = 498,363.67/581.75
  6. Step 6: Final answer
    x = 856.67

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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.