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Finding the Fourth Proportional to 645.86, 964.10 and 552.91

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Solution

The fourth proportional to 645.86, 964.10 and 552.91 is: 825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.86 : 964.10 = 552.91 : x
  2. Step 2: Convert to fraction form
    645.86/964.10 = 552.91/x
  3. Step 3: Cross multiply
    645.86x = 964.10 × 552.91
  4. Step 4: Simplify right side
    645.86x = 533,055.71
  5. Step 5: Solve for x
    x = 533,055.71/645.86
  6. Step 6: Final answer
    x = 825.35

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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.