Home / 1,527.14-2,290.70-431.50

Finding the Fourth Proportional to 1,527.14, 2,290.70 and 431.50

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Solution

The fourth proportional to 1,527.14, 2,290.70 and 431.50 is: 647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.14 : 2,290.70 = 431.50 : x
  2. Step 2: Convert to fraction form
    1,527.14/2,290.70 = 431.50/x
  3. Step 3: Cross multiply
    1,527.14x = 2,290.70 × 431.50
  4. Step 4: Simplify right side
    1,527.14x = 988,432.40
  5. Step 5: Solve for x
    x = 988,432.40/1,527.14
  6. Step 6: Final answer
    x = 647.25

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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.