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Finding the Fourth Proportional to 711.02, 1,070.27 and 648.74

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Solution

The fourth proportional to 711.02, 1,070.27 and 648.74 is: 976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.02 : 1,070.27 = 648.74 : x
  2. Step 2: Convert to fraction form
    711.02/1,070.27 = 648.74/x
  3. Step 3: Cross multiply
    711.02x = 1,070.27 × 648.74
  4. Step 4: Simplify right side
    711.02x = 694,318.36
  5. Step 5: Solve for x
    x = 694,318.36/711.02
  6. Step 6: Final answer
    x = 976.52

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Double scale
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1.5x scale

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.