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Finding the Fourth Proportional to 1,686.07, 2,527.61 and 906.49

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Solution

The fourth proportional to 1,686.07, 2,527.61 and 906.49 is: 1,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.07 : 2,527.61 = 906.49 : x
  2. Step 2: Convert to fraction form
    1,686.07/2,527.61 = 906.49/x
  3. Step 3: Cross multiply
    1,686.07x = 2,527.61 × 906.49
  4. Step 4: Simplify right side
    1,686.07x = 2,291,242.34
  5. Step 5: Solve for x
    x = 2,291,242.34/1,686.07
  6. Step 6: Final answer
    x = 1,358.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.