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Finding the Fourth Proportional to 915.57, 1,366.70 and 847.89

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Solution

The fourth proportional to 915.57, 1,366.70 and 847.89 is: 1,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.57 : 1,366.70 = 847.89 : x
  2. Step 2: Convert to fraction form
    915.57/1,366.70 = 847.89/x
  3. Step 3: Cross multiply
    915.57x = 1,366.70 × 847.89
  4. Step 4: Simplify right side
    915.57x = 1,158,807.02
  5. Step 5: Solve for x
    x = 1,158,807.02/915.57
  6. Step 6: Final answer
    x = 1,265.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.