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Finding the Fourth Proportional to 707.24, 975.06 and 485.80

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Solution

The fourth proportional to 707.24, 975.06 and 485.80 is: 669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.24 : 975.06 = 485.80 : x
  2. Step 2: Convert to fraction form
    707.24/975.06 = 485.80/x
  3. Step 3: Cross multiply
    707.24x = 975.06 × 485.80
  4. Step 4: Simplify right side
    707.24x = 473,684.15
  5. Step 5: Solve for x
    x = 473,684.15/707.24
  6. Step 6: Final answer
    x = 669.76

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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.