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Finding the Fourth Proportional to 714.10, 983.49 and 663.07

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Solution

The fourth proportional to 714.10, 983.49 and 663.07 is: 913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.10 : 983.49 = 663.07 : x
  2. Step 2: Convert to fraction form
    714.10/983.49 = 663.07/x
  3. Step 3: Cross multiply
    714.10x = 983.49 × 663.07
  4. Step 4: Simplify right side
    714.10x = 652,119.40
  5. Step 5: Solve for x
    x = 652,119.40/714.10
  6. Step 6: Final answer
    x = 913.20

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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.