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Finding the Fourth Proportional to 933.76, 1,290.36 and 685.36

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Solution

The fourth proportional to 933.76, 1,290.36 and 685.36 is: 947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.76 : 1,290.36 = 685.36 : x
  2. Step 2: Convert to fraction form
    933.76/1,290.36 = 685.36/x
  3. Step 3: Cross multiply
    933.76x = 1,290.36 × 685.36
  4. Step 4: Simplify right side
    933.76x = 884,361.13
  5. Step 5: Solve for x
    x = 884,361.13/933.76
  6. Step 6: Final answer
    x = 947.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.