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Finding the Fourth Proportional to 1,010.06, 1,505.17 and 977.03

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Solution

The fourth proportional to 1,010.06, 1,505.17 and 977.03 is: 1,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.06 : 1,505.17 = 977.03 : x
  2. Step 2: Convert to fraction form
    1,010.06/1,505.17 = 977.03/x
  3. Step 3: Cross multiply
    1,010.06x = 1,505.17 × 977.03
  4. Step 4: Simplify right side
    1,010.06x = 1,470,598.33
  5. Step 5: Solve for x
    x = 1,470,598.33/1,010.06
  6. Step 6: Final answer
    x = 1,455.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.