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Finding the Fourth Proportional to 1,725.85, 2,587.98 and 555.64

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Solution

The fourth proportional to 1,725.85, 2,587.98 and 555.64 is: 833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.85 : 2,587.98 = 555.64 : x
  2. Step 2: Convert to fraction form
    1,725.85/2,587.98 = 555.64/x
  3. Step 3: Cross multiply
    1,725.85x = 2,587.98 × 555.64
  4. Step 4: Simplify right side
    1,725.85x = 1,437,985.21
  5. Step 5: Solve for x
    x = 1,437,985.21/1,725.85
  6. Step 6: Final answer
    x = 833.20

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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.