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Finding the Fourth Proportional to 1,089.03, 1,631.41 and 870.10

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Solution

The fourth proportional to 1,089.03, 1,631.41 and 870.10 is: 1,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.03 : 1,631.41 = 870.10 : x
  2. Step 2: Convert to fraction form
    1,089.03/1,631.41 = 870.10/x
  3. Step 3: Cross multiply
    1,089.03x = 1,631.41 × 870.10
  4. Step 4: Simplify right side
    1,089.03x = 1,419,492.02
  5. Step 5: Solve for x
    x = 1,419,492.02/1,089.03
  6. Step 6: Final answer
    x = 1,303.45

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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.