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Finding the Fourth Proportional to 835.62, 1,151 and 583.10

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Solution

The fourth proportional to 835.62, 1,151 and 583.10 is: 803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.62 : 1,151 = 583.10 : x
  2. Step 2: Convert to fraction form
    835.62/1,151 = 583.10/x
  3. Step 3: Cross multiply
    835.62x = 1,151 × 583.10
  4. Step 4: Simplify right side
    835.62x = 671,148.10
  5. Step 5: Solve for x
    x = 671,148.10/835.62
  6. Step 6: Final answer
    x = 803.17

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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.