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Finding the Fourth Proportional to 1,003.10, 1,384.65 and 898.00

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Solution

The fourth proportional to 1,003.10, 1,384.65 and 898.00 is: 1,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.10 : 1,384.65 = 898.00 : x
  2. Step 2: Convert to fraction form
    1,003.10/1,384.65 = 898.00/x
  3. Step 3: Cross multiply
    1,003.10x = 1,384.65 × 898.00
  4. Step 4: Simplify right side
    1,003.10x = 1,243,412.24
  5. Step 5: Solve for x
    x = 1,243,412.24/1,003.10
  6. Step 6: Final answer
    x = 1,239.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.