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Finding the Fourth Proportional to 583.90, 805.62 and 406.67

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Solution

The fourth proportional to 583.90, 805.62 and 406.67 is: 561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.90 : 805.62 = 406.67 : x
  2. Step 2: Convert to fraction form
    583.90/805.62 = 406.67/x
  3. Step 3: Cross multiply
    583.90x = 805.62 × 406.67
  4. Step 4: Simplify right side
    583.90x = 327,618.98
  5. Step 5: Solve for x
    x = 327,618.98/583.90
  6. Step 6: Final answer
    x = 561.08

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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.