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Finding the Fourth Proportional to 710.35, 1,070.80 and 648.83

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Solution

The fourth proportional to 710.35, 1,070.80 and 648.83 is: 978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.35 : 1,070.80 = 648.83 : x
  2. Step 2: Convert to fraction form
    710.35/1,070.80 = 648.83/x
  3. Step 3: Cross multiply
    710.35x = 1,070.80 × 648.83
  4. Step 4: Simplify right side
    710.35x = 694,768.22
  5. Step 5: Solve for x
    x = 694,768.22/710.35
  6. Step 6: Final answer
    x = 978.07

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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.