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Finding the Fourth Proportional to 705.53, 972.55 and 555.88

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Solution

The fourth proportional to 705.53, 972.55 and 555.88 is: 766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.53 : 972.55 = 555.88 : x
  2. Step 2: Convert to fraction form
    705.53/972.55 = 555.88/x
  3. Step 3: Cross multiply
    705.53x = 972.55 × 555.88
  4. Step 4: Simplify right side
    705.53x = 540,621.09
  5. Step 5: Solve for x
    x = 540,621.09/705.53
  6. Step 6: Final answer
    x = 766.26

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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.