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Finding the Fourth Proportional to 543.64, 750.16 and 347.08

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Solution

The fourth proportional to 543.64, 750.16 and 347.08 is: 478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.64 : 750.16 = 347.08 : x
  2. Step 2: Convert to fraction form
    543.64/750.16 = 347.08/x
  3. Step 3: Cross multiply
    543.64x = 750.16 × 347.08
  4. Step 4: Simplify right side
    543.64x = 260,365.53
  5. Step 5: Solve for x
    x = 260,365.53/543.64
  6. Step 6: Final answer
    x = 478.93

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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.