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Finding the Fourth Proportional to 1,060.48, 1,587.39 and 734.86

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Solution

The fourth proportional to 1,060.48, 1,587.39 and 734.86 is: 1,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.48 : 1,587.39 = 734.86 : x
  2. Step 2: Convert to fraction form
    1,060.48/1,587.39 = 734.86/x
  3. Step 3: Cross multiply
    1,060.48x = 1,587.39 × 734.86
  4. Step 4: Simplify right side
    1,060.48x = 1,166,509.42
  5. Step 5: Solve for x
    x = 1,166,509.42/1,060.48
  6. Step 6: Final answer
    x = 1,099.98

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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.