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Finding the Fourth Proportional to 646.38, 970.19 and 430.11

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Solution

The fourth proportional to 646.38, 970.19 and 430.11 is: 645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.38 : 970.19 = 430.11 : x
  2. Step 2: Convert to fraction form
    646.38/970.19 = 430.11/x
  3. Step 3: Cross multiply
    646.38x = 970.19 × 430.11
  4. Step 4: Simplify right side
    646.38x = 417,289.91
  5. Step 5: Solve for x
    x = 417,289.91/646.38
  6. Step 6: Final answer
    x = 645.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.