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Finding the Fourth Proportional to 785.16, 1,177.59 and 291.50

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Solution

The fourth proportional to 785.16, 1,177.59 and 291.50 is: 437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.16 : 1,177.59 = 291.50 : x
  2. Step 2: Convert to fraction form
    785.16/1,177.59 = 291.50/x
  3. Step 3: Cross multiply
    785.16x = 1,177.59 × 291.50
  4. Step 4: Simplify right side
    785.16x = 343,261.60
  5. Step 5: Solve for x
    x = 343,261.60/785.16
  6. Step 6: Final answer
    x = 437.19

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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.