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Finding the Fourth Proportional to 705.51, 972 and 557.89

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Solution

The fourth proportional to 705.51, 972 and 557.89 is: 768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.51 : 972 = 557.89 : x
  2. Step 2: Convert to fraction form
    705.51/972 = 557.89/x
  3. Step 3: Cross multiply
    705.51x = 972 × 557.89
  4. Step 4: Simplify right side
    705.51x = 542,266.65
  5. Step 5: Solve for x
    x = 542,266.65/705.51
  6. Step 6: Final answer
    x = 768.62

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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.