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Finding the Fourth Proportional to 430.40, 646.16 and 411.52

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Solution

The fourth proportional to 430.40, 646.16 and 411.52 is: 617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.40 : 646.16 = 411.52 : x
  2. Step 2: Convert to fraction form
    430.40/646.16 = 411.52/x
  3. Step 3: Cross multiply
    430.40x = 646.16 × 411.52
  4. Step 4: Simplify right side
    430.40x = 265,907.76
  5. Step 5: Solve for x
    x = 265,907.76/430.40
  6. Step 6: Final answer
    x = 617.82

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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.