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Finding the Fourth Proportional to 1,656.63, 2,483.40 and 560.23

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Solution

The fourth proportional to 1,656.63, 2,483.40 and 560.23 is: 839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.63 : 2,483.40 = 560.23 : x
  2. Step 2: Convert to fraction form
    1,656.63/2,483.40 = 560.23/x
  3. Step 3: Cross multiply
    1,656.63x = 2,483.40 × 560.23
  4. Step 4: Simplify right side
    1,656.63x = 1,391,259.96
  5. Step 5: Solve for x
    x = 1,391,259.96/1,656.63
  6. Step 6: Final answer
    x = 839.82

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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.