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Finding the Fourth Proportional to 707.72, 975.30 and 500.36

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Solution

The fourth proportional to 707.72, 975.30 and 500.36 is: 689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.72 : 975.30 = 500.36 : x
  2. Step 2: Convert to fraction form
    707.72/975.30 = 500.36/x
  3. Step 3: Cross multiply
    707.72x = 975.30 × 500.36
  4. Step 4: Simplify right side
    707.72x = 488,001.11
  5. Step 5: Solve for x
    x = 488,001.11/707.72
  6. Step 6: Final answer
    x = 689.54

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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.