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Finding the Fourth Proportional to 913.15, 1,368.82 and 583.07

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Solution

The fourth proportional to 913.15, 1,368.82 and 583.07 is: 874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.15 : 1,368.82 = 583.07 : x
  2. Step 2: Convert to fraction form
    913.15/1,368.82 = 583.07/x
  3. Step 3: Cross multiply
    913.15x = 1,368.82 × 583.07
  4. Step 4: Simplify right side
    913.15x = 798,124.95
  5. Step 5: Solve for x
    x = 798,124.95/913.15
  6. Step 6: Final answer
    x = 874.04

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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.