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Finding the Fourth Proportional to 846.20, 1,266.68 and 537

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Solution

The fourth proportional to 846.20, 1,266.68 and 537 is: 803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.20 : 1,266.68 = 537 : x
  2. Step 2: Convert to fraction form
    846.20/1,266.68 = 537/x
  3. Step 3: Cross multiply
    846.20x = 1,266.68 × 537
  4. Step 4: Simplify right side
    846.20x = 680,207.16
  5. Step 5: Solve for x
    x = 680,207.16/846.20
  6. Step 6: Final answer
    x = 803.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.