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Finding the Fourth Proportional to 1,307.12, 1,803.96 and 783.20

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Solution

The fourth proportional to 1,307.12, 1,803.96 and 783.20 is: 1,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.12 : 1,803.96 = 783.20 : x
  2. Step 2: Convert to fraction form
    1,307.12/1,803.96 = 783.20/x
  3. Step 3: Cross multiply
    1,307.12x = 1,803.96 × 783.20
  4. Step 4: Simplify right side
    1,307.12x = 1,412,861.47
  5. Step 5: Solve for x
    x = 1,412,861.47/1,307.12
  6. Step 6: Final answer
    x = 1,080.90

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