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Finding the Fourth Proportional to 707.65, 976.48 and 428.00

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Solution

The fourth proportional to 707.65, 976.48 and 428.00 is: 590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.65 : 976.48 = 428.00 : x
  2. Step 2: Convert to fraction form
    707.65/976.48 = 428.00/x
  3. Step 3: Cross multiply
    707.65x = 976.48 × 428.00
  4. Step 4: Simplify right side
    707.65x = 417,927.49
  5. Step 5: Solve for x
    x = 417,927.49/707.65
  6. Step 6: Final answer
    x = 590.59

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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.