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Finding the Fourth Proportional to 669.96, 924.51 and 390.14

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Solution

The fourth proportional to 669.96, 924.51 and 390.14 is: 538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.96 : 924.51 = 390.14 : x
  2. Step 2: Convert to fraction form
    669.96/924.51 = 390.14/x
  3. Step 3: Cross multiply
    669.96x = 924.51 × 390.14
  4. Step 4: Simplify right side
    669.96x = 360,688.33
  5. Step 5: Solve for x
    x = 360,688.33/669.96
  6. Step 6: Final answer
    x = 538.37

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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.