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Finding the Fourth Proportional to 1,312.34, 1,969.30 and 532.25

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Solution

The fourth proportional to 1,312.34, 1,969.30 and 532.25 is: 798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.34 : 1,969.30 = 532.25 : x
  2. Step 2: Convert to fraction form
    1,312.34/1,969.30 = 532.25/x
  3. Step 3: Cross multiply
    1,312.34x = 1,969.30 × 532.25
  4. Step 4: Simplify right side
    1,312.34x = 1,048,150.08
  5. Step 5: Solve for x
    x = 1,048,150.08/1,312.34
  6. Step 6: Final answer
    x = 798.69

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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.