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Finding the Fourth Proportional to 434.63, 648.79 and 402.10

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Solution

The fourth proportional to 434.63, 648.79 and 402.10 is: 600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.63 : 648.79 = 402.10 : x
  2. Step 2: Convert to fraction form
    434.63/648.79 = 402.10/x
  3. Step 3: Cross multiply
    434.63x = 648.79 × 402.10
  4. Step 4: Simplify right side
    434.63x = 260,875.83
  5. Step 5: Solve for x
    x = 260,875.83/434.63
  6. Step 6: Final answer
    x = 600.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.