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Finding the Fourth Proportional to 705.85, 974.14 and 509.47

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Solution

The fourth proportional to 705.85, 974.14 and 509.47 is: 703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.85 : 974.14 = 509.47 : x
  2. Step 2: Convert to fraction form
    705.85/974.14 = 509.47/x
  3. Step 3: Cross multiply
    705.85x = 974.14 × 509.47
  4. Step 4: Simplify right side
    705.85x = 496,291.40
  5. Step 5: Solve for x
    x = 496,291.40/705.85
  6. Step 6: Final answer
    x = 703.11

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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.