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Finding the Fourth Proportional to 835.40, 1,252.02 and 561.08

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Solution

The fourth proportional to 835.40, 1,252.02 and 561.08 is: 840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.40 : 1,252.02 = 561.08 : x
  2. Step 2: Convert to fraction form
    835.40/1,252.02 = 561.08/x
  3. Step 3: Cross multiply
    835.40x = 1,252.02 × 561.08
  4. Step 4: Simplify right side
    835.40x = 702,483.38
  5. Step 5: Solve for x
    x = 702,483.38/835.40
  6. Step 6: Final answer
    x = 840.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.