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Finding the Fourth Proportional to 913.38, 1,364.40 and 880.98

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Solution

The fourth proportional to 913.38, 1,364.40 and 880.98 is: 1,316.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.38 : 1,364.40 = 880.98 : x
  2. Step 2: Convert to fraction form
    913.38/1,364.40 = 880.98/x
  3. Step 3: Cross multiply
    913.38x = 1,364.40 × 880.98
  4. Step 4: Simplify right side
    913.38x = 1,202,009.11
  5. Step 5: Solve for x
    x = 1,202,009.11/913.38
  6. Step 6: Final answer
    x = 1,316.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.