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Finding the Fourth Proportional to 704.72, 971.16 and 497.36

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Solution

The fourth proportional to 704.72, 971.16 and 497.36 is: 685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.72 : 971.16 = 497.36 : x
  2. Step 2: Convert to fraction form
    704.72/971.16 = 497.36/x
  3. Step 3: Cross multiply
    704.72x = 971.16 × 497.36
  4. Step 4: Simplify right side
    704.72x = 483,016.14
  5. Step 5: Solve for x
    x = 483,016.14/704.72
  6. Step 6: Final answer
    x = 685.40

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1.5x scale

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.