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Finding the Fourth Proportional to 434.40, 653.96 and 374.88

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Solution

The fourth proportional to 434.40, 653.96 and 374.88 is: 564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.40 : 653.96 = 374.88 : x
  2. Step 2: Convert to fraction form
    434.40/653.96 = 374.88/x
  3. Step 3: Cross multiply
    434.40x = 653.96 × 374.88
  4. Step 4: Simplify right side
    434.40x = 245,156.52
  5. Step 5: Solve for x
    x = 245,156.52/434.40
  6. Step 6: Final answer
    x = 564.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.