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Finding the Fourth Proportional to 434.52, 648.63 and 393.60

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Solution

The fourth proportional to 434.52, 648.63 and 393.60 is: 587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.52 : 648.63 = 393.60 : x
  2. Step 2: Convert to fraction form
    434.52/648.63 = 393.60/x
  3. Step 3: Cross multiply
    434.52x = 648.63 × 393.60
  4. Step 4: Simplify right side
    434.52x = 255,300.77
  5. Step 5: Solve for x
    x = 255,300.77/434.52
  6. Step 6: Final answer
    x = 587.55

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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.