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Finding the Fourth Proportional to 672.86, 928.32 and 420.62

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Solution

The fourth proportional to 672.86, 928.32 and 420.62 is: 580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.86 : 928.32 = 420.62 : x
  2. Step 2: Convert to fraction form
    672.86/928.32 = 420.62/x
  3. Step 3: Cross multiply
    672.86x = 928.32 × 420.62
  4. Step 4: Simplify right side
    672.86x = 390,468.80
  5. Step 5: Solve for x
    x = 390,468.80/672.86
  6. Step 6: Final answer
    x = 580.31

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1.5x scale

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.