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Finding the Fourth Proportional to 576.91, 858.60 and 557.47

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Solution

The fourth proportional to 576.91, 858.60 and 557.47 is: 829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.91 : 858.60 = 557.47 : x
  2. Step 2: Convert to fraction form
    576.91/858.60 = 557.47/x
  3. Step 3: Cross multiply
    576.91x = 858.60 × 557.47
  4. Step 4: Simplify right side
    576.91x = 478,643.74
  5. Step 5: Solve for x
    x = 478,643.74/576.91
  6. Step 6: Final answer
    x = 829.67

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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.