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Finding the Fourth Proportional to 434.52, 646.29 and 420.93

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Solution

The fourth proportional to 434.52, 646.29 and 420.93 is: 626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.52 : 646.29 = 420.93 : x
  2. Step 2: Convert to fraction form
    434.52/646.29 = 420.93/x
  3. Step 3: Cross multiply
    434.52x = 646.29 × 420.93
  4. Step 4: Simplify right side
    434.52x = 272,042.85
  5. Step 5: Solve for x
    x = 272,042.85/434.52
  6. Step 6: Final answer
    x = 626.08

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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.