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Finding the Fourth Proportional to 691.23, 953.46 and 543.81

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Solution

The fourth proportional to 691.23, 953.46 and 543.81 is: 750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.23 : 953.46 = 543.81 : x
  2. Step 2: Convert to fraction form
    691.23/953.46 = 543.81/x
  3. Step 3: Cross multiply
    691.23x = 953.46 × 543.81
  4. Step 4: Simplify right side
    691.23x = 518,501.08
  5. Step 5: Solve for x
    x = 518,501.08/691.23
  6. Step 6: Final answer
    x = 750.11

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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.