Home / 1,527.53-2,290.95-431.64

Finding the Fourth Proportional to 1,527.53, 2,290.95 and 431.64

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Solution

The fourth proportional to 1,527.53, 2,290.95 and 431.64 is: 647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.53 : 2,290.95 = 431.64 : x
  2. Step 2: Convert to fraction form
    1,527.53/2,290.95 = 431.64/x
  3. Step 3: Cross multiply
    1,527.53x = 2,290.95 × 431.64
  4. Step 4: Simplify right side
    1,527.53x = 988,865.66
  5. Step 5: Solve for x
    x = 988,865.66/1,527.53
  6. Step 6: Final answer
    x = 647.36

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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.