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Finding the Fourth Proportional to 907.10, 1,361.33 and 420.49

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Solution

The fourth proportional to 907.10, 1,361.33 and 420.49 is: 631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.10 : 1,361.33 = 420.49 : x
  2. Step 2: Convert to fraction form
    907.10/1,361.33 = 420.49/x
  3. Step 3: Cross multiply
    907.10x = 1,361.33 × 420.49
  4. Step 4: Simplify right side
    907.10x = 572,426.83
  5. Step 5: Solve for x
    x = 572,426.83/907.10
  6. Step 6: Final answer
    x = 631.05

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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.