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Finding the Fourth Proportional to 907.59, 1,358.63 and 820.96

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Solution

The fourth proportional to 907.59, 1,358.63 and 820.96 is: 1,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.59 : 1,358.63 = 820.96 : x
  2. Step 2: Convert to fraction form
    907.59/1,358.63 = 820.96/x
  3. Step 3: Cross multiply
    907.59x = 1,358.63 × 820.96
  4. Step 4: Simplify right side
    907.59x = 1,115,376.46
  5. Step 5: Solve for x
    x = 1,115,376.46/907.59
  6. Step 6: Final answer
    x = 1,228.95

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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.