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Finding the Fourth Proportional to 786.06, 1,177.20 and 602.10

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Solution

The fourth proportional to 786.06, 1,177.20 and 602.10 is: 901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.06 : 1,177.20 = 602.10 : x
  2. Step 2: Convert to fraction form
    786.06/1,177.20 = 602.10/x
  3. Step 3: Cross multiply
    786.06x = 1,177.20 × 602.10
  4. Step 4: Simplify right side
    786.06x = 708,792.12
  5. Step 5: Solve for x
    x = 708,792.12/786.06
  6. Step 6: Final answer
    x = 901.70

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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.