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Finding the Fourth Proportional to 1,527.99, 2,291.72 and 432.11

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Solution

The fourth proportional to 1,527.99, 2,291.72 and 432.11 is: 648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.99 : 2,291.72 = 432.11 : x
  2. Step 2: Convert to fraction form
    1,527.99/2,291.72 = 432.11/x
  3. Step 3: Cross multiply
    1,527.99x = 2,291.72 × 432.11
  4. Step 4: Simplify right side
    1,527.99x = 990,261.51
  5. Step 5: Solve for x
    x = 990,261.51/1,527.99
  6. Step 6: Final answer
    x = 648.08

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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.