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Finding the Fourth Proportional to 512.78, 706.80 and 503.06

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Solution

The fourth proportional to 512.78, 706.80 and 503.06 is: 693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.78 : 706.80 = 503.06 : x
  2. Step 2: Convert to fraction form
    512.78/706.80 = 503.06/x
  3. Step 3: Cross multiply
    512.78x = 706.80 × 503.06
  4. Step 4: Simplify right side
    512.78x = 355,562.81
  5. Step 5: Solve for x
    x = 355,562.81/512.78
  6. Step 6: Final answer
    x = 693.40

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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.