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Finding the Fourth Proportional to 1,695.59, 2,543.78 and 585.05

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Solution

The fourth proportional to 1,695.59, 2,543.78 and 585.05 is: 877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.59 : 2,543.78 = 585.05 : x
  2. Step 2: Convert to fraction form
    1,695.59/2,543.78 = 585.05/x
  3. Step 3: Cross multiply
    1,695.59x = 2,543.78 × 585.05
  4. Step 4: Simplify right side
    1,695.59x = 1,488,222.84
  5. Step 5: Solve for x
    x = 1,488,222.84/1,695.59
  6. Step 6: Final answer
    x = 877.70

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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.