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Finding the Fourth Proportional to 1,300.16, 1,948.85 and 606.02

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Solution

The fourth proportional to 1,300.16, 1,948.85 and 606.02 is: 908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.16 : 1,948.85 = 606.02 : x
  2. Step 2: Convert to fraction form
    1,300.16/1,948.85 = 606.02/x
  3. Step 3: Cross multiply
    1,300.16x = 1,948.85 × 606.02
  4. Step 4: Simplify right side
    1,300.16x = 1,181,042.08
  5. Step 5: Solve for x
    x = 1,181,042.08/1,300.16
  6. Step 6: Final answer
    x = 908.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.