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Finding the Fourth Proportional to 434.81, 646.62 and 421.14

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Solution

The fourth proportional to 434.81, 646.62 and 421.14 is: 626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.81 : 646.62 = 421.14 : x
  2. Step 2: Convert to fraction form
    434.81/646.62 = 421.14/x
  3. Step 3: Cross multiply
    434.81x = 646.62 × 421.14
  4. Step 4: Simplify right side
    434.81x = 272,317.55
  5. Step 5: Solve for x
    x = 272,317.55/434.81
  6. Step 6: Final answer
    x = 626.29

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Double scale
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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.