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Finding the Fourth Proportional to 1,312.86, 1,969.50 and 491.70

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Solution

The fourth proportional to 1,312.86, 1,969.50 and 491.70 is: 737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.86 : 1,969.50 = 491.70 : x
  2. Step 2: Convert to fraction form
    1,312.86/1,969.50 = 491.70/x
  3. Step 3: Cross multiply
    1,312.86x = 1,969.50 × 491.70
  4. Step 4: Simplify right side
    1,312.86x = 968,403.15
  5. Step 5: Solve for x
    x = 968,403.15/1,312.86
  6. Step 6: Final answer
    x = 737.63

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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.