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Finding the Fourth Proportional to 943.77, 1,302.77 and 594.39

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Solution

The fourth proportional to 943.77, 1,302.77 and 594.39 is: 820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.77 : 1,302.77 = 594.39 : x
  2. Step 2: Convert to fraction form
    943.77/1,302.77 = 594.39/x
  3. Step 3: Cross multiply
    943.77x = 1,302.77 × 594.39
  4. Step 4: Simplify right side
    943.77x = 774,353.46
  5. Step 5: Solve for x
    x = 774,353.46/943.77
  6. Step 6: Final answer
    x = 820.49

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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.