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Finding the Fourth Proportional to 951.49, 1,313.06 and 578.37

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Solution

The fourth proportional to 951.49, 1,313.06 and 578.37 is: 798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.49 : 1,313.06 = 578.37 : x
  2. Step 2: Convert to fraction form
    951.49/1,313.06 = 578.37/x
  3. Step 3: Cross multiply
    951.49x = 1,313.06 × 578.37
  4. Step 4: Simplify right side
    951.49x = 759,434.51
  5. Step 5: Solve for x
    x = 759,434.51/951.49
  6. Step 6: Final answer
    x = 798.15

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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.