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Finding the Fourth Proportional to 833.14, 1,149.73 and 460.13

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Solution

The fourth proportional to 833.14, 1,149.73 and 460.13 is: 634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.14 : 1,149.73 = 460.13 : x
  2. Step 2: Convert to fraction form
    833.14/1,149.73 = 460.13/x
  3. Step 3: Cross multiply
    833.14x = 1,149.73 × 460.13
  4. Step 4: Simplify right side
    833.14x = 529,024.83
  5. Step 5: Solve for x
    x = 529,024.83/833.14
  6. Step 6: Final answer
    x = 634.98

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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.