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Finding the Fourth Proportional to 695.02, 1,047.76 and 648.04

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Solution

The fourth proportional to 695.02, 1,047.76 and 648.04 is: 976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.02 : 1,047.76 = 648.04 : x
  2. Step 2: Convert to fraction form
    695.02/1,047.76 = 648.04/x
  3. Step 3: Cross multiply
    695.02x = 1,047.76 × 648.04
  4. Step 4: Simplify right side
    695.02x = 678,987.15
  5. Step 5: Solve for x
    x = 678,987.15/695.02
  6. Step 6: Final answer
    x = 976.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.