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Finding the Fourth Proportional to 810.69, 1,214.40 and 521.25

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Solution

The fourth proportional to 810.69, 1,214.40 and 521.25 is: 780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.69 : 1,214.40 = 521.25 : x
  2. Step 2: Convert to fraction form
    810.69/1,214.40 = 521.25/x
  3. Step 3: Cross multiply
    810.69x = 1,214.40 × 521.25
  4. Step 4: Simplify right side
    810.69x = 633,006
  5. Step 5: Solve for x
    x = 633,006/810.69
  6. Step 6: Final answer
    x = 780.82

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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.