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Finding the Fourth Proportional to 584.04, 805.62 and 407.07

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Solution

The fourth proportional to 584.04, 805.62 and 407.07 is: 561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.04 : 805.62 = 407.07 : x
  2. Step 2: Convert to fraction form
    584.04/805.62 = 407.07/x
  3. Step 3: Cross multiply
    584.04x = 805.62 × 407.07
  4. Step 4: Simplify right side
    584.04x = 327,943.73
  5. Step 5: Solve for x
    x = 327,943.73/584.04
  6. Step 6: Final answer
    x = 561.51

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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.