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Finding the Fourth Proportional to 710.22, 1,070.46 and 670.50

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Solution

The fourth proportional to 710.22, 1,070.46 and 670.50 is: 1,010.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.22 : 1,070.46 = 670.50 : x
  2. Step 2: Convert to fraction form
    710.22/1,070.46 = 670.50/x
  3. Step 3: Cross multiply
    710.22x = 1,070.46 × 670.50
  4. Step 4: Simplify right side
    710.22x = 717,743.43
  5. Step 5: Solve for x
    x = 717,743.43/710.22
  6. Step 6: Final answer
    x = 1,010.59

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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.