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Finding the Fourth Proportional to 876.02, 1,208.86 and 502.94

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Solution

The fourth proportional to 876.02, 1,208.86 and 502.94 is: 694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.02 : 1,208.86 = 502.94 : x
  2. Step 2: Convert to fraction form
    876.02/1,208.86 = 502.94/x
  3. Step 3: Cross multiply
    876.02x = 1,208.86 × 502.94
  4. Step 4: Simplify right side
    876.02x = 607,988.64
  5. Step 5: Solve for x
    x = 607,988.64/876.02
  6. Step 6: Final answer
    x = 694.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.