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Finding the Fourth Proportional to 1,013.10, 1,507.04 and 985.02

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Solution

The fourth proportional to 1,013.10, 1,507.04 and 985.02 is: 1,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.10 : 1,507.04 = 985.02 : x
  2. Step 2: Convert to fraction form
    1,013.10/1,507.04 = 985.02/x
  3. Step 3: Cross multiply
    1,013.10x = 1,507.04 × 985.02
  4. Step 4: Simplify right side
    1,013.10x = 1,484,459.62
  5. Step 5: Solve for x
    x = 1,484,459.62/1,013.10
  6. Step 6: Final answer
    x = 1,465.26

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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.