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Finding the Fourth Proportional to 810.61, 1,214.31 and 535.86

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Solution

The fourth proportional to 810.61, 1,214.31 and 535.86 is: 802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.61 : 1,214.31 = 535.86 : x
  2. Step 2: Convert to fraction form
    810.61/1,214.31 = 535.86/x
  3. Step 3: Cross multiply
    810.61x = 1,214.31 × 535.86
  4. Step 4: Simplify right side
    810.61x = 650,700.16
  5. Step 5: Solve for x
    x = 650,700.16/810.61
  6. Step 6: Final answer
    x = 802.73

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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.