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Finding the Fourth Proportional to 706.62, 973.62 and 509.79

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Solution

The fourth proportional to 706.62, 973.62 and 509.79 is: 702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.62 : 973.62 = 509.79 : x
  2. Step 2: Convert to fraction form
    706.62/973.62 = 509.79/x
  3. Step 3: Cross multiply
    706.62x = 973.62 × 509.79
  4. Step 4: Simplify right side
    706.62x = 496,341.74
  5. Step 5: Solve for x
    x = 496,341.74/706.62
  6. Step 6: Final answer
    x = 702.42

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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.