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Finding the Fourth Proportional to 430.71, 595.02 and 406.41

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Solution

The fourth proportional to 430.71, 595.02 and 406.41 is: 561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.71 : 595.02 = 406.41 : x
  2. Step 2: Convert to fraction form
    430.71/595.02 = 406.41/x
  3. Step 3: Cross multiply
    430.71x = 595.02 × 406.41
  4. Step 4: Simplify right side
    430.71x = 241,822.08
  5. Step 5: Solve for x
    x = 241,822.08/430.71
  6. Step 6: Final answer
    x = 561.45

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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.