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Finding the Fourth Proportional to 608.40, 840.24 and 434.16

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Solution

The fourth proportional to 608.40, 840.24 and 434.16 is: 599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.40 : 840.24 = 434.16 : x
  2. Step 2: Convert to fraction form
    608.40/840.24 = 434.16/x
  3. Step 3: Cross multiply
    608.40x = 840.24 × 434.16
  4. Step 4: Simplify right side
    608.40x = 364,798.60
  5. Step 5: Solve for x
    x = 364,798.60/608.40
  6. Step 6: Final answer
    x = 599.60

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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.