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Finding the Fourth Proportional to 1,312.19, 1,810.05 and 846.44

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Solution

The fourth proportional to 1,312.19, 1,810.05 and 846.44 is: 1,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.19 : 1,810.05 = 846.44 : x
  2. Step 2: Convert to fraction form
    1,312.19/1,810.05 = 846.44/x
  3. Step 3: Cross multiply
    1,312.19x = 1,810.05 × 846.44
  4. Step 4: Simplify right side
    1,312.19x = 1,532,098.72
  5. Step 5: Solve for x
    x = 1,532,098.72/1,312.19
  6. Step 6: Final answer
    x = 1,167.59

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