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Finding the Fourth Proportional to 584.40, 805.84 and 407.44

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Solution

The fourth proportional to 584.40, 805.84 and 407.44 is: 561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.40 : 805.84 = 407.44 : x
  2. Step 2: Convert to fraction form
    584.40/805.84 = 407.44/x
  3. Step 3: Cross multiply
    584.40x = 805.84 × 407.44
  4. Step 4: Simplify right side
    584.40x = 328,331.45
  5. Step 5: Solve for x
    x = 328,331.45/584.40
  6. Step 6: Final answer
    x = 561.83

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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.