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Finding the Fourth Proportional to 1,600.51, 2,400.98 and 560.26

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Solution

The fourth proportional to 1,600.51, 2,400.98 and 560.26 is: 840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.51 : 2,400.98 = 560.26 : x
  2. Step 2: Convert to fraction form
    1,600.51/2,400.98 = 560.26/x
  3. Step 3: Cross multiply
    1,600.51x = 2,400.98 × 560.26
  4. Step 4: Simplify right side
    1,600.51x = 1,345,173.05
  5. Step 5: Solve for x
    x = 1,345,173.05/1,600.51
  6. Step 6: Final answer
    x = 840.47

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1.5x scale

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.