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Finding the Fourth Proportional to 1,707.09, 2,560.55 and 552.75

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Solution

The fourth proportional to 1,707.09, 2,560.55 and 552.75 is: 829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.09 : 2,560.55 = 552.75 : x
  2. Step 2: Convert to fraction form
    1,707.09/2,560.55 = 552.75/x
  3. Step 3: Cross multiply
    1,707.09x = 2,560.55 × 552.75
  4. Step 4: Simplify right side
    1,707.09x = 1,415,341.25
  5. Step 5: Solve for x
    x = 1,415,341.25/1,707.09
  6. Step 6: Final answer
    x = 829.10

Related Problems

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Half scale
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Double scale
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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.