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Finding the Fourth Proportional to 543.67, 750.30 and 425.80

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Solution

The fourth proportional to 543.67, 750.30 and 425.80 is: 587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.67 : 750.30 = 425.80 : x
  2. Step 2: Convert to fraction form
    543.67/750.30 = 425.80/x
  3. Step 3: Cross multiply
    543.67x = 750.30 × 425.80
  4. Step 4: Simplify right side
    543.67x = 319,477.74
  5. Step 5: Solve for x
    x = 319,477.74/543.67
  6. Step 6: Final answer
    x = 587.63

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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.