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Finding the Fourth Proportional to 707.02, 975 and 497.13

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Solution

The fourth proportional to 707.02, 975 and 497.13 is: 685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.02 : 975 = 497.13 : x
  2. Step 2: Convert to fraction form
    707.02/975 = 497.13/x
  3. Step 3: Cross multiply
    707.02x = 975 × 497.13
  4. Step 4: Simplify right side
    707.02x = 484,701.75
  5. Step 5: Solve for x
    x = 484,701.75/707.02
  6. Step 6: Final answer
    x = 685.56

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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.