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Finding the Fourth Proportional to 701.61, 1,051.80 and 599.55

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Solution

The fourth proportional to 701.61, 1,051.80 and 599.55 is: 898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.61 : 1,051.80 = 599.55 : x
  2. Step 2: Convert to fraction form
    701.61/1,051.80 = 599.55/x
  3. Step 3: Cross multiply
    701.61x = 1,051.80 × 599.55
  4. Step 4: Simplify right side
    701.61x = 630,606.69
  5. Step 5: Solve for x
    x = 630,606.69/701.61
  6. Step 6: Final answer
    x = 898.80

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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.