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Finding the Fourth Proportional to 1,312.84, 1,811.40 and 788.77

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Solution

The fourth proportional to 1,312.84, 1,811.40 and 788.77 is: 1,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.84 : 1,811.40 = 788.77 : x
  2. Step 2: Convert to fraction form
    1,312.84/1,811.40 = 788.77/x
  3. Step 3: Cross multiply
    1,312.84x = 1,811.40 × 788.77
  4. Step 4: Simplify right side
    1,312.84x = 1,428,777.98
  5. Step 5: Solve for x
    x = 1,428,777.98/1,312.84
  6. Step 6: Final answer
    x = 1,088.31

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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.