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Finding the Fourth Proportional to 783.69, 1,176.69 and 437.70

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Solution

The fourth proportional to 783.69, 1,176.69 and 437.70 is: 657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.69 : 1,176.69 = 437.70 : x
  2. Step 2: Convert to fraction form
    783.69/1,176.69 = 437.70/x
  3. Step 3: Cross multiply
    783.69x = 1,176.69 × 437.70
  4. Step 4: Simplify right side
    783.69x = 515,037.21
  5. Step 5: Solve for x
    x = 515,037.21/783.69
  6. Step 6: Final answer
    x = 657.20

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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.