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Finding the Fourth Proportional to 669.77, 1,010.95 and 669.77

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Solution

The fourth proportional to 669.77, 1,010.95 and 669.77 is: 1,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.77 : 1,010.95 = 669.77 : x
  2. Step 2: Convert to fraction form
    669.77/1,010.95 = 669.77/x
  3. Step 3: Cross multiply
    669.77x = 1,010.95 × 669.77
  4. Step 4: Simplify right side
    669.77x = 677,101.04
  5. Step 5: Solve for x
    x = 677,101.04/669.77
  6. Step 6: Final answer
    x = 1,010.95

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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.