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Finding the Fourth Proportional to 1,307.16, 1,958.09 and 612.90

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Solution

The fourth proportional to 1,307.16, 1,958.09 and 612.90 is: 918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.16 : 1,958.09 = 612.90 : x
  2. Step 2: Convert to fraction form
    1,307.16/1,958.09 = 612.90/x
  3. Step 3: Cross multiply
    1,307.16x = 1,958.09 × 612.90
  4. Step 4: Simplify right side
    1,307.16x = 1,200,110.30
  5. Step 5: Solve for x
    x = 1,200,110.30/1,307.16
  6. Step 6: Final answer
    x = 918.11

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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.