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Finding the Fourth Proportional to 706.08, 972.24 and 581.28

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Solution

The fourth proportional to 706.08, 972.24 and 581.28 is: 800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.08 : 972.24 = 581.28 : x
  2. Step 2: Convert to fraction form
    706.08/972.24 = 581.28/x
  3. Step 3: Cross multiply
    706.08x = 972.24 × 581.28
  4. Step 4: Simplify right side
    706.08x = 565,143.67
  5. Step 5: Solve for x
    x = 565,143.67/706.08
  6. Step 6: Final answer
    x = 800.40

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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.