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Finding the Fourth Proportional to 707.55, 976.25 and 424.06

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Solution

The fourth proportional to 707.55, 976.25 and 424.06 is: 585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.55 : 976.25 = 424.06 : x
  2. Step 2: Convert to fraction form
    707.55/976.25 = 424.06/x
  3. Step 3: Cross multiply
    707.55x = 976.25 × 424.06
  4. Step 4: Simplify right side
    707.55x = 413,988.58
  5. Step 5: Solve for x
    x = 413,988.58/707.55
  6. Step 6: Final answer
    x = 585.10

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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.