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Finding the Fourth Proportional to 1,107.05, 1,527.71 and 714.08

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Solution

The fourth proportional to 1,107.05, 1,527.71 and 714.08 is: 985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.05 : 1,527.71 = 714.08 : x
  2. Step 2: Convert to fraction form
    1,107.05/1,527.71 = 714.08/x
  3. Step 3: Cross multiply
    1,107.05x = 1,527.71 × 714.08
  4. Step 4: Simplify right side
    1,107.05x = 1,090,904.98
  5. Step 5: Solve for x
    x = 1,090,904.98/1,107.05
  6. Step 6: Final answer
    x = 985.41

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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.