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Finding the Fourth Proportional to 705.79, 973.16 and 496.66

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Solution

The fourth proportional to 705.79, 973.16 and 496.66 is: 684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.79 : 973.16 = 496.66 : x
  2. Step 2: Convert to fraction form
    705.79/973.16 = 496.66/x
  3. Step 3: Cross multiply
    705.79x = 973.16 × 496.66
  4. Step 4: Simplify right side
    705.79x = 483,328.47
  5. Step 5: Solve for x
    x = 483,328.47/705.79
  6. Step 6: Final answer
    x = 684.81

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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.