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Finding the Fourth Proportional to 938.34, 1,407.38 and 390.47

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Solution

The fourth proportional to 938.34, 1,407.38 and 390.47 is: 585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.34 : 1,407.38 = 390.47 : x
  2. Step 2: Convert to fraction form
    938.34/1,407.38 = 390.47/x
  3. Step 3: Cross multiply
    938.34x = 1,407.38 × 390.47
  4. Step 4: Simplify right side
    938.34x = 549,530.68
  5. Step 5: Solve for x
    x = 549,530.68/938.34
  6. Step 6: Final answer
    x = 585.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.