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Finding the Fourth Proportional to 705.40, 968.51 and 573.40

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Solution

The fourth proportional to 705.40, 968.51 and 573.40 is: 787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.40 : 968.51 = 573.40 : x
  2. Step 2: Convert to fraction form
    705.40/968.51 = 573.40/x
  3. Step 3: Cross multiply
    705.40x = 968.51 × 573.40
  4. Step 4: Simplify right side
    705.40x = 555,343.63
  5. Step 5: Solve for x
    x = 555,343.63/705.40
  6. Step 6: Final answer
    x = 787.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.