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Finding the Fourth Proportional to 1,020.34, 1,526.87 and 883.86

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Solution

The fourth proportional to 1,020.34, 1,526.87 and 883.86 is: 1,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.34 : 1,526.87 = 883.86 : x
  2. Step 2: Convert to fraction form
    1,020.34/1,526.87 = 883.86/x
  3. Step 3: Cross multiply
    1,020.34x = 1,526.87 × 883.86
  4. Step 4: Simplify right side
    1,020.34x = 1,349,533.29
  5. Step 5: Solve for x
    x = 1,349,533.29/1,020.34
  6. Step 6: Final answer
    x = 1,322.63

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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.