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Finding the Fourth Proportional to 907.16, 1,361.64 and 420.32

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Solution

The fourth proportional to 907.16, 1,361.64 and 420.32 is: 630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.16 : 1,361.64 = 420.32 : x
  2. Step 2: Convert to fraction form
    907.16/1,361.64 = 420.32/x
  3. Step 3: Cross multiply
    907.16x = 1,361.64 × 420.32
  4. Step 4: Simplify right side
    907.16x = 572,324.52
  5. Step 5: Solve for x
    x = 572,324.52/907.16
  6. Step 6: Final answer
    x = 630.90

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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.