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Finding the Fourth Proportional to 1,016.64, 1,527.12 and 529.56

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Solution

The fourth proportional to 1,016.64, 1,527.12 and 529.56 is: 795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.64 : 1,527.12 = 529.56 : x
  2. Step 2: Convert to fraction form
    1,016.64/1,527.12 = 529.56/x
  3. Step 3: Cross multiply
    1,016.64x = 1,527.12 × 529.56
  4. Step 4: Simplify right side
    1,016.64x = 808,701.67
  5. Step 5: Solve for x
    x = 808,701.67/1,016.64
  6. Step 6: Final answer
    x = 795.47

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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.