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Finding the Fourth Proportional to 962.01, 1,326.51 and 829.10

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Solution

The fourth proportional to 962.01, 1,326.51 and 829.10 is: 1,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.01 : 1,326.51 = 829.10 : x
  2. Step 2: Convert to fraction form
    962.01/1,326.51 = 829.10/x
  3. Step 3: Cross multiply
    962.01x = 1,326.51 × 829.10
  4. Step 4: Simplify right side
    962.01x = 1,099,812.76
  5. Step 5: Solve for x
    x = 1,099,812.76/962.01
  6. Step 6: Final answer
    x = 1,143.24

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1.5x scale

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.