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Finding the Fourth Proportional to 768.46, 1,060.71 and 558.67

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Solution

The fourth proportional to 768.46, 1,060.71 and 558.67 is: 771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.46 : 1,060.71 = 558.67 : x
  2. Step 2: Convert to fraction form
    768.46/1,060.71 = 558.67/x
  3. Step 3: Cross multiply
    768.46x = 1,060.71 × 558.67
  4. Step 4: Simplify right side
    768.46x = 592,586.86
  5. Step 5: Solve for x
    x = 592,586.86/768.46
  6. Step 6: Final answer
    x = 771.14

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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.