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Finding the Fourth Proportional to 587.40, 879.28 and 430.90

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Solution

The fourth proportional to 587.40, 879.28 and 430.90 is: 645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.40 : 879.28 = 430.90 : x
  2. Step 2: Convert to fraction form
    587.40/879.28 = 430.90/x
  3. Step 3: Cross multiply
    587.40x = 879.28 × 430.90
  4. Step 4: Simplify right side
    587.40x = 378,881.75
  5. Step 5: Solve for x
    x = 378,881.75/587.40
  6. Step 6: Final answer
    x = 645.01

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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.