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Finding the Fourth Proportional to 907.16, 1,252.26 and 608.85

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Solution

The fourth proportional to 907.16, 1,252.26 and 608.85 is: 840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.16 : 1,252.26 = 608.85 : x
  2. Step 2: Convert to fraction form
    907.16/1,252.26 = 608.85/x
  3. Step 3: Cross multiply
    907.16x = 1,252.26 × 608.85
  4. Step 4: Simplify right side
    907.16x = 762,438.50
  5. Step 5: Solve for x
    x = 762,438.50/907.16
  6. Step 6: Final answer
    x = 840.47

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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.