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Finding the Fourth Proportional to 430.35, 589.13 and 416.38

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Solution

The fourth proportional to 430.35, 589.13 and 416.38 is: 570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.35 : 589.13 = 416.38 : x
  2. Step 2: Convert to fraction form
    430.35/589.13 = 416.38/x
  3. Step 3: Cross multiply
    430.35x = 589.13 × 416.38
  4. Step 4: Simplify right side
    430.35x = 245,301.95
  5. Step 5: Solve for x
    x = 245,301.95/430.35
  6. Step 6: Final answer
    x = 570.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.