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Finding the Fourth Proportional to 907.74, 1,360.56 and 419.77

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Solution

The fourth proportional to 907.74, 1,360.56 and 419.77 is: 629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.74 : 1,360.56 = 419.77 : x
  2. Step 2: Convert to fraction form
    907.74/1,360.56 = 419.77/x
  3. Step 3: Cross multiply
    907.74x = 1,360.56 × 419.77
  4. Step 4: Simplify right side
    907.74x = 571,122.27
  5. Step 5: Solve for x
    x = 571,122.27/907.74
  6. Step 6: Final answer
    x = 629.17

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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.