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Finding the Fourth Proportional to 1,180.86, 1,769.85 and 530.70

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Solution

The fourth proportional to 1,180.86, 1,769.85 and 530.70 is: 795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.86 : 1,769.85 = 530.70 : x
  2. Step 2: Convert to fraction form
    1,180.86/1,769.85 = 530.70/x
  3. Step 3: Cross multiply
    1,180.86x = 1,769.85 × 530.70
  4. Step 4: Simplify right side
    1,180.86x = 939,259.40
  5. Step 5: Solve for x
    x = 939,259.40/1,180.86
  6. Step 6: Final answer
    x = 795.40

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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.