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Finding the Fourth Proportional to 920.78, 1,271.04 and 589.50

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Solution

The fourth proportional to 920.78, 1,271.04 and 589.50 is: 813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.78 : 1,271.04 = 589.50 : x
  2. Step 2: Convert to fraction form
    920.78/1,271.04 = 589.50/x
  3. Step 3: Cross multiply
    920.78x = 1,271.04 × 589.50
  4. Step 4: Simplify right side
    920.78x = 749,278.08
  5. Step 5: Solve for x
    x = 749,278.08/920.78
  6. Step 6: Final answer
    x = 813.74

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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.