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Finding the Fourth Proportional to 1,312.65, 1,811.43 and 788.85

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Solution

The fourth proportional to 1,312.65, 1,811.43 and 788.85 is: 1,088.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.65 : 1,811.43 = 788.85 : x
  2. Step 2: Convert to fraction form
    1,312.65/1,811.43 = 788.85/x
  3. Step 3: Cross multiply
    1,312.65x = 1,811.43 × 788.85
  4. Step 4: Simplify right side
    1,312.65x = 1,428,946.56
  5. Step 5: Solve for x
    x = 1,428,946.56/1,312.65
  6. Step 6: Final answer
    x = 1,088.60

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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.