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Finding the Fourth Proportional to 583.19, 805.00 and 459.40

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Solution

The fourth proportional to 583.19, 805.00 and 459.40 is: 634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.19 : 805.00 = 459.40 : x
  2. Step 2: Convert to fraction form
    583.19/805.00 = 459.40/x
  3. Step 3: Cross multiply
    583.19x = 805.00 × 459.40
  4. Step 4: Simplify right side
    583.19x = 369,817.32
  5. Step 5: Solve for x
    x = 369,817.32/583.19
  6. Step 6: Final answer
    x = 634.13

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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.