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Finding the Fourth Proportional to 583.38, 805.06 and 321.40

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Solution

The fourth proportional to 583.38, 805.06 and 321.40 is: 443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.38 : 805.06 = 321.40 : x
  2. Step 2: Convert to fraction form
    583.38/805.06 = 321.40/x
  3. Step 3: Cross multiply
    583.38x = 805.06 × 321.40
  4. Step 4: Simplify right side
    583.38x = 258,746.28
  5. Step 5: Solve for x
    x = 258,746.28/583.38
  6. Step 6: Final answer
    x = 443.53

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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.