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Finding the Fourth Proportional to 1,202.86, 1,803.55 and 471.58

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Solution

The fourth proportional to 1,202.86, 1,803.55 and 471.58 is: 707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.86 : 1,803.55 = 471.58 : x
  2. Step 2: Convert to fraction form
    1,202.86/1,803.55 = 471.58/x
  3. Step 3: Cross multiply
    1,202.86x = 1,803.55 × 471.58
  4. Step 4: Simplify right side
    1,202.86x = 850,518.11
  5. Step 5: Solve for x
    x = 850,518.11/1,202.86
  6. Step 6: Final answer
    x = 707.08

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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.