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Finding the Fourth Proportional to 934.77, 1,289.96 and 536.49

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Solution

The fourth proportional to 934.77, 1,289.96 and 536.49 is: 740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.77 : 1,289.96 = 536.49 : x
  2. Step 2: Convert to fraction form
    934.77/1,289.96 = 536.49/x
  3. Step 3: Cross multiply
    934.77x = 1,289.96 × 536.49
  4. Step 4: Simplify right side
    934.77x = 692,047.96
  5. Step 5: Solve for x
    x = 692,047.96/934.77
  6. Step 6: Final answer
    x = 740.34

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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.