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Finding the Fourth Proportional to 876.59, 1,210.19 and 640.31

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Solution

The fourth proportional to 876.59, 1,210.19 and 640.31 is: 883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.59 : 1,210.19 = 640.31 : x
  2. Step 2: Convert to fraction form
    876.59/1,210.19 = 640.31/x
  3. Step 3: Cross multiply
    876.59x = 1,210.19 × 640.31
  4. Step 4: Simplify right side
    876.59x = 774,887.51
  5. Step 5: Solve for x
    x = 774,887.51/876.59
  6. Step 6: Final answer
    x = 883.98

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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.