Home / 1,527.59-2,291.06-431.66

Finding the Fourth Proportional to 1,527.59, 2,291.06 and 431.66

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Solution

The fourth proportional to 1,527.59, 2,291.06 and 431.66 is: 647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.59 : 2,291.06 = 431.66 : x
  2. Step 2: Convert to fraction form
    1,527.59/2,291.06 = 431.66/x
  3. Step 3: Cross multiply
    1,527.59x = 2,291.06 × 431.66
  4. Step 4: Simplify right side
    1,527.59x = 988,965.77
  5. Step 5: Solve for x
    x = 988,965.77/1,527.59
  6. Step 6: Final answer
    x = 647.40

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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.