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Finding the Fourth Proportional to 673.34, 928.86 and 460.47

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Solution

The fourth proportional to 673.34, 928.86 and 460.47 is: 635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.34 : 928.86 = 460.47 : x
  2. Step 2: Convert to fraction form
    673.34/928.86 = 460.47/x
  3. Step 3: Cross multiply
    673.34x = 928.86 × 460.47
  4. Step 4: Simplify right side
    673.34x = 427,712.16
  5. Step 5: Solve for x
    x = 427,712.16/673.34
  6. Step 6: Final answer
    x = 635.21

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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.