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Finding the Fourth Proportional to 785.51, 1,177.80 and 460.19

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Solution

The fourth proportional to 785.51, 1,177.80 and 460.19 is: 690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.51 : 1,177.80 = 460.19 : x
  2. Step 2: Convert to fraction form
    785.51/1,177.80 = 460.19/x
  3. Step 3: Cross multiply
    785.51x = 1,177.80 × 460.19
  4. Step 4: Simplify right side
    785.51x = 542,011.78
  5. Step 5: Solve for x
    x = 542,011.78/785.51
  6. Step 6: Final answer
    x = 690.01

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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.