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Finding the Fourth Proportional to 714.51, 980.77 and 634.07

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Solution

The fourth proportional to 714.51, 980.77 and 634.07 is: 870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.51 : 980.77 = 634.07 : x
  2. Step 2: Convert to fraction form
    714.51/980.77 = 634.07/x
  3. Step 3: Cross multiply
    714.51x = 980.77 × 634.07
  4. Step 4: Simplify right side
    714.51x = 621,877.70
  5. Step 5: Solve for x
    x = 621,877.70/714.51
  6. Step 6: Final answer
    x = 870.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.