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Finding the Fourth Proportional to 774.19, 1,065.77 and 670.71

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Solution

The fourth proportional to 774.19, 1,065.77 and 670.71 is: 923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.19 : 1,065.77 = 670.71 : x
  2. Step 2: Convert to fraction form
    774.19/1,065.77 = 670.71/x
  3. Step 3: Cross multiply
    774.19x = 1,065.77 × 670.71
  4. Step 4: Simplify right side
    774.19x = 714,822.60
  5. Step 5: Solve for x
    x = 714,822.60/774.19
  6. Step 6: Final answer
    x = 923.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.