Home / 1,527.51-2,291.40-431.90

Finding the Fourth Proportional to 1,527.51, 2,291.40 and 431.90

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Solution

The fourth proportional to 1,527.51, 2,291.40 and 431.90 is: 647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.51 : 2,291.40 = 431.90 : x
  2. Step 2: Convert to fraction form
    1,527.51/2,291.40 = 431.90/x
  3. Step 3: Cross multiply
    1,527.51x = 2,291.40 × 431.90
  4. Step 4: Simplify right side
    1,527.51x = 989,644.20
  5. Step 5: Solve for x
    x = 989,644.20/1,527.51
  6. Step 6: Final answer
    x = 647.88

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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.