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Finding the Fourth Proportional to 873.87, 1,300.89 and 869.25

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Solution

The fourth proportional to 873.87, 1,300.89 and 869.25 is: 1,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.87 : 1,300.89 = 869.25 : x
  2. Step 2: Convert to fraction form
    873.87/1,300.89 = 869.25/x
  3. Step 3: Cross multiply
    873.87x = 1,300.89 × 869.25
  4. Step 4: Simplify right side
    873.87x = 1,130,798.63
  5. Step 5: Solve for x
    x = 1,130,798.63/873.87
  6. Step 6: Final answer
    x = 1,294.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.