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Finding the Fourth Proportional to 907.70, 1,361.98 and 414.02

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Solution

The fourth proportional to 907.70, 1,361.98 and 414.02 is: 621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.70 : 1,361.98 = 414.02 : x
  2. Step 2: Convert to fraction form
    907.70/1,361.98 = 414.02/x
  3. Step 3: Cross multiply
    907.70x = 1,361.98 × 414.02
  4. Step 4: Simplify right side
    907.70x = 563,886.96
  5. Step 5: Solve for x
    x = 563,886.96/907.70
  6. Step 6: Final answer
    x = 621.23

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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.