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Finding the Fourth Proportional to 1,307.70, 1,804.50 and 783.72

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Solution

The fourth proportional to 1,307.70, 1,804.50 and 783.72 is: 1,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.70 : 1,804.50 = 783.72 : x
  2. Step 2: Convert to fraction form
    1,307.70/1,804.50 = 783.72/x
  3. Step 3: Cross multiply
    1,307.70x = 1,804.50 × 783.72
  4. Step 4: Simplify right side
    1,307.70x = 1,414,222.74
  5. Step 5: Solve for x
    x = 1,414,222.74/1,307.70
  6. Step 6: Final answer
    x = 1,081.46

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Why These Related Problems?

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