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Finding the Fourth Proportional to 1,103.85, 1,655.76 and 583.74

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Solution

The fourth proportional to 1,103.85, 1,655.76 and 583.74 is: 875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.85 : 1,655.76 = 583.74 : x
  2. Step 2: Convert to fraction form
    1,103.85/1,655.76 = 583.74/x
  3. Step 3: Cross multiply
    1,103.85x = 1,655.76 × 583.74
  4. Step 4: Simplify right side
    1,103.85x = 966,533.34
  5. Step 5: Solve for x
    x = 966,533.34/1,103.85
  6. Step 6: Final answer
    x = 875.60

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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.