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Finding the Fourth Proportional to 707.20, 975.03 and 458.08

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Solution

The fourth proportional to 707.20, 975.03 and 458.08 is: 631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.20 : 975.03 = 458.08 : x
  2. Step 2: Convert to fraction form
    707.20/975.03 = 458.08/x
  3. Step 3: Cross multiply
    707.20x = 975.03 × 458.08
  4. Step 4: Simplify right side
    707.20x = 446,641.74
  5. Step 5: Solve for x
    x = 446,641.74/707.20
  6. Step 6: Final answer
    x = 631.56

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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.