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Finding the Fourth Proportional to 915.50, 1,373.43 and 469.64

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Solution

The fourth proportional to 915.50, 1,373.43 and 469.64 is: 704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.50 : 1,373.43 = 469.64 : x
  2. Step 2: Convert to fraction form
    915.50/1,373.43 = 469.64/x
  3. Step 3: Cross multiply
    915.50x = 1,373.43 × 469.64
  4. Step 4: Simplify right side
    915.50x = 645,017.67
  5. Step 5: Solve for x
    x = 645,017.67/915.50
  6. Step 6: Final answer
    x = 704.55

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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.