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Finding the Fourth Proportional to 877.52, 1,210.84 and 504.51

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Solution

The fourth proportional to 877.52, 1,210.84 and 504.51 is: 696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.52 : 1,210.84 = 504.51 : x
  2. Step 2: Convert to fraction form
    877.52/1,210.84 = 504.51/x
  3. Step 3: Cross multiply
    877.52x = 1,210.84 × 504.51
  4. Step 4: Simplify right side
    877.52x = 610,880.89
  5. Step 5: Solve for x
    x = 610,880.89/877.52
  6. Step 6: Final answer
    x = 696.15

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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.