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Finding the Fourth Proportional to 583.10, 873.30 and 364.40

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Solution

The fourth proportional to 583.10, 873.30 and 364.40 is: 545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.10 : 873.30 = 364.40 : x
  2. Step 2: Convert to fraction form
    583.10/873.30 = 364.40/x
  3. Step 3: Cross multiply
    583.10x = 873.30 × 364.40
  4. Step 4: Simplify right side
    583.10x = 318,230.52
  5. Step 5: Solve for x
    x = 318,230.52/583.10
  6. Step 6: Final answer
    x = 545.76

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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.