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Finding the Fourth Proportional to 962.84, 1,328.81 and 613.50

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Solution

The fourth proportional to 962.84, 1,328.81 and 613.50 is: 846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.84 : 1,328.81 = 613.50 : x
  2. Step 2: Convert to fraction form
    962.84/1,328.81 = 613.50/x
  3. Step 3: Cross multiply
    962.84x = 1,328.81 × 613.50
  4. Step 4: Simplify right side
    962.84x = 815,224.94
  5. Step 5: Solve for x
    x = 815,224.94/962.84
  6. Step 6: Final answer
    x = 846.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.