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Finding the Fourth Proportional to 907.13, 1,252.43 and 696.91

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Solution

The fourth proportional to 907.13, 1,252.43 and 696.91 is: 962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.13 : 1,252.43 = 696.91 : x
  2. Step 2: Convert to fraction form
    907.13/1,252.43 = 696.91/x
  3. Step 3: Cross multiply
    907.13x = 1,252.43 × 696.91
  4. Step 4: Simplify right side
    907.13x = 872,829.60
  5. Step 5: Solve for x
    x = 872,829.60/907.13
  6. Step 6: Final answer
    x = 962.19

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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.