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Finding the Fourth Proportional to 1,312.33, 1,969.40 and 848.96

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Solution

The fourth proportional to 1,312.33, 1,969.40 and 848.96 is: 1,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.33 : 1,969.40 = 848.96 : x
  2. Step 2: Convert to fraction form
    1,312.33/1,969.40 = 848.96/x
  3. Step 3: Cross multiply
    1,312.33x = 1,969.40 × 848.96
  4. Step 4: Simplify right side
    1,312.33x = 1,671,934.10
  5. Step 5: Solve for x
    x = 1,671,934.10/1,312.33
  6. Step 6: Final answer
    x = 1,274.02

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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.