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Finding the Fourth Proportional to 543.74, 750.06 and 368.78

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Solution

The fourth proportional to 543.74, 750.06 and 368.78 is: 508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.74 : 750.06 = 368.78 : x
  2. Step 2: Convert to fraction form
    543.74/750.06 = 368.78/x
  3. Step 3: Cross multiply
    543.74x = 750.06 × 368.78
  4. Step 4: Simplify right side
    543.74x = 276,607.13
  5. Step 5: Solve for x
    x = 276,607.13/543.74
  6. Step 6: Final answer
    x = 508.71

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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.