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Finding the Fourth Proportional to 783.48, 1,173.30 and 490.24

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Solution

The fourth proportional to 783.48, 1,173.30 and 490.24 is: 734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.48 : 1,173.30 = 490.24 : x
  2. Step 2: Convert to fraction form
    783.48/1,173.30 = 490.24/x
  3. Step 3: Cross multiply
    783.48x = 1,173.30 × 490.24
  4. Step 4: Simplify right side
    783.48x = 575,198.59
  5. Step 5: Solve for x
    x = 575,198.59/783.48
  6. Step 6: Final answer
    x = 734.16

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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.