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Finding the Fourth Proportional to 587.25, 876.76 and 525.69

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Solution

The fourth proportional to 587.25, 876.76 and 525.69 is: 784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.25 : 876.76 = 525.69 : x
  2. Step 2: Convert to fraction form
    587.25/876.76 = 525.69/x
  3. Step 3: Cross multiply
    587.25x = 876.76 × 525.69
  4. Step 4: Simplify right side
    587.25x = 460,902.65
  5. Step 5: Solve for x
    x = 460,902.65/587.25
  6. Step 6: Final answer
    x = 784.85

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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.