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Finding the Fourth Proportional to 705.29, 972.23 and 555.64

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Solution

The fourth proportional to 705.29, 972.23 and 555.64 is: 765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.29 : 972.23 = 555.64 : x
  2. Step 2: Convert to fraction form
    705.29/972.23 = 555.64/x
  3. Step 3: Cross multiply
    705.29x = 972.23 × 555.64
  4. Step 4: Simplify right side
    705.29x = 540,204.67
  5. Step 5: Solve for x
    x = 540,204.67/705.29
  6. Step 6: Final answer
    x = 765.93

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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.