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Finding the Fourth Proportional to 1,114.58, 1,670.36 and 529.49

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Solution

The fourth proportional to 1,114.58, 1,670.36 and 529.49 is: 793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.58 : 1,670.36 = 529.49 : x
  2. Step 2: Convert to fraction form
    1,114.58/1,670.36 = 529.49/x
  3. Step 3: Cross multiply
    1,114.58x = 1,670.36 × 529.49
  4. Step 4: Simplify right side
    1,114.58x = 884,427.92
  5. Step 5: Solve for x
    x = 884,427.92/1,114.58
  6. Step 6: Final answer
    x = 793.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.