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Finding the Fourth Proportional to 1,559.54, 2,339.75 and 464.02

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Solution

The fourth proportional to 1,559.54, 2,339.75 and 464.02 is: 696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.54 : 2,339.75 = 464.02 : x
  2. Step 2: Convert to fraction form
    1,559.54/2,339.75 = 464.02/x
  3. Step 3: Cross multiply
    1,559.54x = 2,339.75 × 464.02
  4. Step 4: Simplify right side
    1,559.54x = 1,085,686.11
  5. Step 5: Solve for x
    x = 1,085,686.11/1,559.54
  6. Step 6: Final answer
    x = 696.16

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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.