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Finding the Fourth Proportional to 907.82, 1,253.14 and 612.50

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Solution

The fourth proportional to 907.82, 1,253.14 and 612.50 is: 845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.82 : 1,253.14 = 612.50 : x
  2. Step 2: Convert to fraction form
    907.82/1,253.14 = 612.50/x
  3. Step 3: Cross multiply
    907.82x = 1,253.14 × 612.50
  4. Step 4: Simplify right side
    907.82x = 767,548.25
  5. Step 5: Solve for x
    x = 767,548.25/907.82
  6. Step 6: Final answer
    x = 845.49

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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.