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Finding the Fourth Proportional to 934.83, 1,395.65 and 714.29

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Solution

The fourth proportional to 934.83, 1,395.65 and 714.29 is: 1,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.83 : 1,395.65 = 714.29 : x
  2. Step 2: Convert to fraction form
    934.83/1,395.65 = 714.29/x
  3. Step 3: Cross multiply
    934.83x = 1,395.65 × 714.29
  4. Step 4: Simplify right side
    934.83x = 996,901.50
  5. Step 5: Solve for x
    x = 996,901.50/934.83
  6. Step 6: Final answer
    x = 1,066.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.