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Finding the Fourth Proportional to 643.08, 886.64 and 524.93

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Solution

The fourth proportional to 643.08, 886.64 and 524.93 is: 723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.08 : 886.64 = 524.93 : x
  2. Step 2: Convert to fraction form
    643.08/886.64 = 524.93/x
  3. Step 3: Cross multiply
    643.08x = 886.64 × 524.93
  4. Step 4: Simplify right side
    643.08x = 465,425.65
  5. Step 5: Solve for x
    x = 465,425.65/643.08
  6. Step 6: Final answer
    x = 723.75

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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.