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Finding the Fourth Proportional to 907.71, 1,360.50 and 420.19

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Solution

The fourth proportional to 907.71, 1,360.50 and 420.19 is: 629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.71 : 1,360.50 = 420.19 : x
  2. Step 2: Convert to fraction form
    907.71/1,360.50 = 420.19/x
  3. Step 3: Cross multiply
    907.71x = 1,360.50 × 420.19
  4. Step 4: Simplify right side
    907.71x = 571,663.52
  5. Step 5: Solve for x
    x = 571,663.52/907.71
  6. Step 6: Final answer
    x = 629.79

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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.