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Finding the Fourth Proportional to 876.99, 1,210.26 and 504.12

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Solution

The fourth proportional to 876.99, 1,210.26 and 504.12 is: 695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.99 : 1,210.26 = 504.12 : x
  2. Step 2: Convert to fraction form
    876.99/1,210.26 = 504.12/x
  3. Step 3: Cross multiply
    876.99x = 1,210.26 × 504.12
  4. Step 4: Simplify right side
    876.99x = 610,116.27
  5. Step 5: Solve for x
    x = 610,116.27/876.99
  6. Step 6: Final answer
    x = 695.69

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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.