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Finding the Fourth Proportional to 1,103.83, 1,656.47 and 526.75

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Solution

The fourth proportional to 1,103.83, 1,656.47 and 526.75 is: 790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.83 : 1,656.47 = 526.75 : x
  2. Step 2: Convert to fraction form
    1,103.83/1,656.47 = 526.75/x
  3. Step 3: Cross multiply
    1,103.83x = 1,656.47 × 526.75
  4. Step 4: Simplify right side
    1,103.83x = 872,545.57
  5. Step 5: Solve for x
    x = 872,545.57/1,103.83
  6. Step 6: Final answer
    x = 790.47

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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.