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Finding the Fourth Proportional to 434.61, 652.73 and 398.48

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Solution

The fourth proportional to 434.61, 652.73 and 398.48 is: 598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.61 : 652.73 = 398.48 : x
  2. Step 2: Convert to fraction form
    434.61/652.73 = 398.48/x
  3. Step 3: Cross multiply
    434.61x = 652.73 × 398.48
  4. Step 4: Simplify right side
    434.61x = 260,094.59
  5. Step 5: Solve for x
    x = 260,094.59/434.61
  6. Step 6: Final answer
    x = 598.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.