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Finding the Fourth Proportional to 1,563.98, 2,345.60 and 524.02

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Solution

The fourth proportional to 1,563.98, 2,345.60 and 524.02 is: 785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.98 : 2,345.60 = 524.02 : x
  2. Step 2: Convert to fraction form
    1,563.98/2,345.60 = 524.02/x
  3. Step 3: Cross multiply
    1,563.98x = 2,345.60 × 524.02
  4. Step 4: Simplify right side
    1,563.98x = 1,229,141.31
  5. Step 5: Solve for x
    x = 1,229,141.31/1,563.98
  6. Step 6: Final answer
    x = 785.91

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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.