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Finding the Fourth Proportional to 951.50, 1,313.15 and 578.45

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Solution

The fourth proportional to 951.50, 1,313.15 and 578.45 is: 798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.50 : 1,313.15 = 578.45 : x
  2. Step 2: Convert to fraction form
    951.50/1,313.15 = 578.45/x
  3. Step 3: Cross multiply
    951.50x = 1,313.15 × 578.45
  4. Step 4: Simplify right side
    951.50x = 759,582.16
  5. Step 5: Solve for x
    x = 759,582.16/951.50
  6. Step 6: Final answer
    x = 798.30

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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.