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Finding the Fourth Proportional to 1,312.35, 1,966.66 and 785.48

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Solution

The fourth proportional to 1,312.35, 1,966.66 and 785.48 is: 1,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.35 : 1,966.66 = 785.48 : x
  2. Step 2: Convert to fraction form
    1,312.35/1,966.66 = 785.48/x
  3. Step 3: Cross multiply
    1,312.35x = 1,966.66 × 785.48
  4. Step 4: Simplify right side
    1,312.35x = 1,544,775.78
  5. Step 5: Solve for x
    x = 1,544,775.78/1,312.35
  6. Step 6: Final answer
    x = 1,177.10

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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.