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Finding the Fourth Proportional to 587.02, 879.78 and 313.24

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Solution

The fourth proportional to 587.02, 879.78 and 313.24 is: 469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.02 : 879.78 = 313.24 : x
  2. Step 2: Convert to fraction form
    587.02/879.78 = 313.24/x
  3. Step 3: Cross multiply
    587.02x = 879.78 × 313.24
  4. Step 4: Simplify right side
    587.02x = 275,582.29
  5. Step 5: Solve for x
    x = 275,582.29/587.02
  6. Step 6: Final answer
    x = 469.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.