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Finding the Fourth Proportional to 430.41, 592.88 and 398.91

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Solution

The fourth proportional to 430.41, 592.88 and 398.91 is: 549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.41 : 592.88 = 398.91 : x
  2. Step 2: Convert to fraction form
    430.41/592.88 = 398.91/x
  3. Step 3: Cross multiply
    430.41x = 592.88 × 398.91
  4. Step 4: Simplify right side
    430.41x = 236,505.76
  5. Step 5: Solve for x
    x = 236,505.76/430.41
  6. Step 6: Final answer
    x = 549.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.