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Finding the Fourth Proportional to 1,312.22, 1,968.56 and 434.48

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Solution

The fourth proportional to 1,312.22, 1,968.56 and 434.48 is: 651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.22 : 1,968.56 = 434.48 : x
  2. Step 2: Convert to fraction form
    1,312.22/1,968.56 = 434.48/x
  3. Step 3: Cross multiply
    1,312.22x = 1,968.56 × 434.48
  4. Step 4: Simplify right side
    1,312.22x = 855,302.70
  5. Step 5: Solve for x
    x = 855,302.70/1,312.22
  6. Step 6: Final answer
    x = 651.80

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1.5x scale

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.