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Finding the Fourth Proportional to 577.15, 870.46 and 558.67

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Solution

The fourth proportional to 577.15, 870.46 and 558.67 is: 842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.15 : 870.46 = 558.67 : x
  2. Step 2: Convert to fraction form
    577.15/870.46 = 558.67/x
  3. Step 3: Cross multiply
    577.15x = 870.46 × 558.67
  4. Step 4: Simplify right side
    577.15x = 486,299.89
  5. Step 5: Solve for x
    x = 486,299.89/577.15
  6. Step 6: Final answer
    x = 842.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.