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Finding the Fourth Proportional to 810.14, 1,216.40 and 533.32

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Solution

The fourth proportional to 810.14, 1,216.40 and 533.32 is: 800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.14 : 1,216.40 = 533.32 : x
  2. Step 2: Convert to fraction form
    810.14/1,216.40 = 533.32/x
  3. Step 3: Cross multiply
    810.14x = 1,216.40 × 533.32
  4. Step 4: Simplify right side
    810.14x = 648,730.45
  5. Step 5: Solve for x
    x = 648,730.45/810.14
  6. Step 6: Final answer
    x = 800.76

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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.