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Finding the Fourth Proportional to 1,130.31, 1,559.85 and 633

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Solution

The fourth proportional to 1,130.31, 1,559.85 and 633 is: 873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.31 : 1,559.85 = 633 : x
  2. Step 2: Convert to fraction form
    1,130.31/1,559.85 = 633/x
  3. Step 3: Cross multiply
    1,130.31x = 1,559.85 × 633
  4. Step 4: Simplify right side
    1,130.31x = 987,385.05
  5. Step 5: Solve for x
    x = 987,385.05/1,130.31
  6. Step 6: Final answer
    x = 873.55

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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.