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Finding the Fourth Proportional to 1,148.55, 1,584 and 835.89

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Solution

The fourth proportional to 1,148.55, 1,584 and 835.89 is: 1,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.55 : 1,584 = 835.89 : x
  2. Step 2: Convert to fraction form
    1,148.55/1,584 = 835.89/x
  3. Step 3: Cross multiply
    1,148.55x = 1,584 × 835.89
  4. Step 4: Simplify right side
    1,148.55x = 1,324,049.76
  5. Step 5: Solve for x
    x = 1,324,049.76/1,148.55
  6. Step 6: Final answer
    x = 1,152.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.