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Finding the Fourth Proportional to 585.83, 807.95 and 438.81

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Solution

The fourth proportional to 585.83, 807.95 and 438.81 is: 605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.83 : 807.95 = 438.81 : x
  2. Step 2: Convert to fraction form
    585.83/807.95 = 438.81/x
  3. Step 3: Cross multiply
    585.83x = 807.95 × 438.81
  4. Step 4: Simplify right side
    585.83x = 354,534.35
  5. Step 5: Solve for x
    x = 354,534.35/585.83
  6. Step 6: Final answer
    x = 605.19

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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.