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Finding the Fourth Proportional to 907.44, 1,364.64 and 722.76

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Solution

The fourth proportional to 907.44, 1,364.64 and 722.76 is: 1,086.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.44 : 1,364.64 = 722.76 : x
  2. Step 2: Convert to fraction form
    907.44/1,364.64 = 722.76/x
  3. Step 3: Cross multiply
    907.44x = 1,364.64 × 722.76
  4. Step 4: Simplify right side
    907.44x = 986,307.21
  5. Step 5: Solve for x
    x = 986,307.21/907.44
  6. Step 6: Final answer
    x = 1,086.91

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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.