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Finding the Fourth Proportional to 706.54, 975.90 and 509.71

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Solution

The fourth proportional to 706.54, 975.90 and 509.71 is: 704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.54 : 975.90 = 509.71 : x
  2. Step 2: Convert to fraction form
    706.54/975.90 = 509.71/x
  3. Step 3: Cross multiply
    706.54x = 975.90 × 509.71
  4. Step 4: Simplify right side
    706.54x = 497,425.99
  5. Step 5: Solve for x
    x = 497,425.99/706.54
  6. Step 6: Final answer
    x = 704.03

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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.