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Finding the Fourth Proportional to 785.71, 1,178.75 and 555.05

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Solution

The fourth proportional to 785.71, 1,178.75 and 555.05 is: 832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.71 : 1,178.75 = 555.05 : x
  2. Step 2: Convert to fraction form
    785.71/1,178.75 = 555.05/x
  3. Step 3: Cross multiply
    785.71x = 1,178.75 × 555.05
  4. Step 4: Simplify right side
    785.71x = 654,259.77
  5. Step 5: Solve for x
    x = 654,259.77/785.71
  6. Step 6: Final answer
    x = 832.70

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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.