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Finding the Fourth Proportional to 1,307.20, 1,962.18 and 788.47

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Solution

The fourth proportional to 1,307.20, 1,962.18 and 788.47 is: 1,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.20 : 1,962.18 = 788.47 : x
  2. Step 2: Convert to fraction form
    1,307.20/1,962.18 = 788.47/x
  3. Step 3: Cross multiply
    1,307.20x = 1,962.18 × 788.47
  4. Step 4: Simplify right side
    1,307.20x = 1,547,120.06
  5. Step 5: Solve for x
    x = 1,547,120.06/1,307.20
  6. Step 6: Final answer
    x = 1,183.54

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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.