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Finding the Fourth Proportional to 608.86, 840.45 and 434.74

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Solution

The fourth proportional to 608.86, 840.45 and 434.74 is: 600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.86 : 840.45 = 434.74 : x
  2. Step 2: Convert to fraction form
    608.86/840.45 = 434.74/x
  3. Step 3: Cross multiply
    608.86x = 840.45 × 434.74
  4. Step 4: Simplify right side
    608.86x = 365,377.23
  5. Step 5: Solve for x
    x = 365,377.23/608.86
  6. Step 6: Final answer
    x = 600.10

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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.