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Finding the Fourth Proportional to 907.89, 1,362.36 and 420.92

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Solution

The fourth proportional to 907.89, 1,362.36 and 420.92 is: 631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.89 : 1,362.36 = 420.92 : x
  2. Step 2: Convert to fraction form
    907.89/1,362.36 = 420.92/x
  3. Step 3: Cross multiply
    907.89x = 1,362.36 × 420.92
  4. Step 4: Simplify right side
    907.89x = 573,437.76
  5. Step 5: Solve for x
    x = 573,437.76/907.89
  6. Step 6: Final answer
    x = 631.62

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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.