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Finding the Fourth Proportional to 673.49, 928.91 and 507.71

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Solution

The fourth proportional to 673.49, 928.91 and 507.71 is: 700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.49 : 928.91 = 507.71 : x
  2. Step 2: Convert to fraction form
    673.49/928.91 = 507.71/x
  3. Step 3: Cross multiply
    673.49x = 928.91 × 507.71
  4. Step 4: Simplify right side
    673.49x = 471,613.52
  5. Step 5: Solve for x
    x = 471,613.52/673.49
  6. Step 6: Final answer
    x = 700.26

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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.