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Finding the Fourth Proportional to 576.12, 858.59 and 557.67

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Solution

The fourth proportional to 576.12, 858.59 and 557.67 is: 831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.12 : 858.59 = 557.67 : x
  2. Step 2: Convert to fraction form
    576.12/858.59 = 557.67/x
  3. Step 3: Cross multiply
    576.12x = 858.59 × 557.67
  4. Step 4: Simplify right side
    576.12x = 478,811.28
  5. Step 5: Solve for x
    x = 478,811.28/576.12
  6. Step 6: Final answer
    x = 831.10

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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.