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Finding the Fourth Proportional to 1,527.94, 2,290.06 and 705.07

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Solution

The fourth proportional to 1,527.94, 2,290.06 and 705.07 is: 1,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.94 : 2,290.06 = 705.07 : x
  2. Step 2: Convert to fraction form
    1,527.94/2,290.06 = 705.07/x
  3. Step 3: Cross multiply
    1,527.94x = 2,290.06 × 705.07
  4. Step 4: Simplify right side
    1,527.94x = 1,614,652.60
  5. Step 5: Solve for x
    x = 1,614,652.60/1,527.94
  6. Step 6: Final answer
    x = 1,056.75

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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.