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Finding the Fourth Proportional to 673.67, 929.66 and 390.13

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Solution

The fourth proportional to 673.67, 929.66 and 390.13 is: 538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.67 : 929.66 = 390.13 : x
  2. Step 2: Convert to fraction form
    673.67/929.66 = 390.13/x
  3. Step 3: Cross multiply
    673.67x = 929.66 × 390.13
  4. Step 4: Simplify right side
    673.67x = 362,683.98
  5. Step 5: Solve for x
    x = 362,683.98/673.67
  6. Step 6: Final answer
    x = 538.37

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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.