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Finding the Fourth Proportional to 715.63, 1,078.97 and 573.07

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Solution

The fourth proportional to 715.63, 1,078.97 and 573.07 is: 864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.63 : 1,078.97 = 573.07 : x
  2. Step 2: Convert to fraction form
    715.63/1,078.97 = 573.07/x
  3. Step 3: Cross multiply
    715.63x = 1,078.97 × 573.07
  4. Step 4: Simplify right side
    715.63x = 618,325.34
  5. Step 5: Solve for x
    x = 618,325.34/715.63
  6. Step 6: Final answer
    x = 864.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.