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Finding the Fourth Proportional to 715.24, 985.38 and 559.72

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Solution

The fourth proportional to 715.24, 985.38 and 559.72 is: 771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.24 : 985.38 = 559.72 : x
  2. Step 2: Convert to fraction form
    715.24/985.38 = 559.72/x
  3. Step 3: Cross multiply
    715.24x = 985.38 × 559.72
  4. Step 4: Simplify right side
    715.24x = 551,536.89
  5. Step 5: Solve for x
    x = 551,536.89/715.24
  6. Step 6: Final answer
    x = 771.12

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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.