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Finding the Fourth Proportional to 1,314.50, 1,970.73 and 523.77

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Solution

The fourth proportional to 1,314.50, 1,970.73 and 523.77 is: 785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.50 : 1,970.73 = 523.77 : x
  2. Step 2: Convert to fraction form
    1,314.50/1,970.73 = 523.77/x
  3. Step 3: Cross multiply
    1,314.50x = 1,970.73 × 523.77
  4. Step 4: Simplify right side
    1,314.50x = 1,032,201.86
  5. Step 5: Solve for x
    x = 1,032,201.86/1,314.50
  6. Step 6: Final answer
    x = 785.25

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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.