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Finding the Fourth Proportional to 1,031.02, 1,547.21 and 850.59

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Solution

The fourth proportional to 1,031.02, 1,547.21 and 850.59 is: 1,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.02 : 1,547.21 = 850.59 : x
  2. Step 2: Convert to fraction form
    1,031.02/1,547.21 = 850.59/x
  3. Step 3: Cross multiply
    1,031.02x = 1,547.21 × 850.59
  4. Step 4: Simplify right side
    1,031.02x = 1,316,043.48
  5. Step 5: Solve for x
    x = 1,316,043.48/1,031.02
  6. Step 6: Final answer
    x = 1,276.45

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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.