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Finding the Fourth Proportional to 576.15, 868.93 and 557.65

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Solution

The fourth proportional to 576.15, 868.93 and 557.65 is: 841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.15 : 868.93 = 557.65 : x
  2. Step 2: Convert to fraction form
    576.15/868.93 = 557.65/x
  3. Step 3: Cross multiply
    576.15x = 868.93 × 557.65
  4. Step 4: Simplify right side
    576.15x = 484,558.51
  5. Step 5: Solve for x
    x = 484,558.51/576.15
  6. Step 6: Final answer
    x = 841.03

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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.