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Finding the Fourth Proportional to 628.32, 864.96 and 588.72

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Solution

The fourth proportional to 628.32, 864.96 and 588.72 is: 810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.32 : 864.96 = 588.72 : x
  2. Step 2: Convert to fraction form
    628.32/864.96 = 588.72/x
  3. Step 3: Cross multiply
    628.32x = 864.96 × 588.72
  4. Step 4: Simplify right side
    628.32x = 509,219.25
  5. Step 5: Solve for x
    x = 509,219.25/628.32
  6. Step 6: Final answer
    x = 810.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.