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Finding the Fourth Proportional to 833.16, 1,148.81 and 534.01

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Solution

The fourth proportional to 833.16, 1,148.81 and 534.01 is: 736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.16 : 1,148.81 = 534.01 : x
  2. Step 2: Convert to fraction form
    833.16/1,148.81 = 534.01/x
  3. Step 3: Cross multiply
    833.16x = 1,148.81 × 534.01
  4. Step 4: Simplify right side
    833.16x = 613,476.03
  5. Step 5: Solve for x
    x = 613,476.03/833.16
  6. Step 6: Final answer
    x = 736.32

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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.