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Finding the Fourth Proportional to 587.07, 876.40 and 464.09

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Solution

The fourth proportional to 587.07, 876.40 and 464.09 is: 692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.07 : 876.40 = 464.09 : x
  2. Step 2: Convert to fraction form
    587.07/876.40 = 464.09/x
  3. Step 3: Cross multiply
    587.07x = 876.40 × 464.09
  4. Step 4: Simplify right side
    587.07x = 406,722.93
  5. Step 5: Solve for x
    x = 406,722.93/587.07
  6. Step 6: Final answer
    x = 692.80

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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.