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Finding the Fourth Proportional to 962.50, 1,444.89 and 810.33

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Solution

The fourth proportional to 962.50, 1,444.89 and 810.33 is: 1,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.50 : 1,444.89 = 810.33 : x
  2. Step 2: Convert to fraction form
    962.50/1,444.89 = 810.33/x
  3. Step 3: Cross multiply
    962.50x = 1,444.89 × 810.33
  4. Step 4: Simplify right side
    962.50x = 1,170,837.71
  5. Step 5: Solve for x
    x = 1,170,837.71/962.50
  6. Step 6: Final answer
    x = 1,216.45

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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.