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Finding the Fourth Proportional to 846.50, 1,269.91 and 390.50

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Solution

The fourth proportional to 846.50, 1,269.91 and 390.50 is: 585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.50 : 1,269.91 = 390.50 : x
  2. Step 2: Convert to fraction form
    846.50/1,269.91 = 390.50/x
  3. Step 3: Cross multiply
    846.50x = 1,269.91 × 390.50
  4. Step 4: Simplify right side
    846.50x = 495,899.86
  5. Step 5: Solve for x
    x = 495,899.86/846.50
  6. Step 6: Final answer
    x = 585.82

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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.