Home / 1,064.20-1,468.58-598.45

Finding the Fourth Proportional to 1,064.20, 1,468.58 and 598.45

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Solution

The fourth proportional to 1,064.20, 1,468.58 and 598.45 is: 825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.20 : 1,468.58 = 598.45 : x
  2. Step 2: Convert to fraction form
    1,064.20/1,468.58 = 598.45/x
  3. Step 3: Cross multiply
    1,064.20x = 1,468.58 × 598.45
  4. Step 4: Simplify right side
    1,064.20x = 878,861.37
  5. Step 5: Solve for x
    x = 878,861.37/1,064.20
  6. Step 6: Final answer
    x = 825.85

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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.