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Finding the Fourth Proportional to 1,485.93, 2,227.68 and 560.96

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Solution

The fourth proportional to 1,485.93, 2,227.68 and 560.96 is: 840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.93 : 2,227.68 = 560.96 : x
  2. Step 2: Convert to fraction form
    1,485.93/2,227.68 = 560.96/x
  3. Step 3: Cross multiply
    1,485.93x = 2,227.68 × 560.96
  4. Step 4: Simplify right side
    1,485.93x = 1,249,639.37
  5. Step 5: Solve for x
    x = 1,249,639.37/1,485.93
  6. Step 6: Final answer
    x = 840.98

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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.