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Finding the Fourth Proportional to 434.95, 600.59 and 405.07

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Solution

The fourth proportional to 434.95, 600.59 and 405.07 is: 559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.95 : 600.59 = 405.07 : x
  2. Step 2: Convert to fraction form
    434.95/600.59 = 405.07/x
  3. Step 3: Cross multiply
    434.95x = 600.59 × 405.07
  4. Step 4: Simplify right side
    434.95x = 243,280.50
  5. Step 5: Solve for x
    x = 243,280.50/434.95
  6. Step 6: Final answer
    x = 559.33

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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.