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Finding the Fourth Proportional to 705.79, 973.03 and 469.75

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Solution

The fourth proportional to 705.79, 973.03 and 469.75 is: 647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.79 : 973.03 = 469.75 : x
  2. Step 2: Convert to fraction form
    705.79/973.03 = 469.75/x
  3. Step 3: Cross multiply
    705.79x = 973.03 × 469.75
  4. Step 4: Simplify right side
    705.79x = 457,079.94
  5. Step 5: Solve for x
    x = 457,079.94/705.79
  6. Step 6: Final answer
    x = 647.62

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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.