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Finding the Fourth Proportional to 907.20, 1,361.36 and 420.16

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Solution

The fourth proportional to 907.20, 1,361.36 and 420.16 is: 630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.20 : 1,361.36 = 420.16 : x
  2. Step 2: Convert to fraction form
    907.20/1,361.36 = 420.16/x
  3. Step 3: Cross multiply
    907.20x = 1,361.36 × 420.16
  4. Step 4: Simplify right side
    907.20x = 571,989.02
  5. Step 5: Solve for x
    x = 571,989.02/907.20
  6. Step 6: Final answer
    x = 630.50

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Double scale
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1.5x scale

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.