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Finding the Fourth Proportional to 1,312.63, 1,969.05 and 435.13

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Solution

The fourth proportional to 1,312.63, 1,969.05 and 435.13 is: 652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.63 : 1,969.05 = 435.13 : x
  2. Step 2: Convert to fraction form
    1,312.63/1,969.05 = 435.13/x
  3. Step 3: Cross multiply
    1,312.63x = 1,969.05 × 435.13
  4. Step 4: Simplify right side
    1,312.63x = 856,792.73
  5. Step 5: Solve for x
    x = 856,792.73/1,312.63
  6. Step 6: Final answer
    x = 652.73

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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.