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Finding the Fourth Proportional to 907.23, 1,361.64 and 647.88

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Solution

The fourth proportional to 907.23, 1,361.64 and 647.88 is: 972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.23 : 1,361.64 = 647.88 : x
  2. Step 2: Convert to fraction form
    907.23/1,361.64 = 647.88/x
  3. Step 3: Cross multiply
    907.23x = 1,361.64 × 647.88
  4. Step 4: Simplify right side
    907.23x = 882,179.32
  5. Step 5: Solve for x
    x = 882,179.32/907.23
  6. Step 6: Final answer
    x = 972.39

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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.