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Finding the Fourth Proportional to 876.75, 1,210.08 and 577.47

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Solution

The fourth proportional to 876.75, 1,210.08 and 577.47 is: 797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.75 : 1,210.08 = 577.47 : x
  2. Step 2: Convert to fraction form
    876.75/1,210.08 = 577.47/x
  3. Step 3: Cross multiply
    876.75x = 1,210.08 × 577.47
  4. Step 4: Simplify right side
    876.75x = 698,784.90
  5. Step 5: Solve for x
    x = 698,784.90/876.75
  6. Step 6: Final answer
    x = 797.02

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