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Finding the Fourth Proportional to 1,009.53, 1,511.73 and 591.30

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Solution

The fourth proportional to 1,009.53, 1,511.73 and 591.30 is: 885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.53 : 1,511.73 = 591.30 : x
  2. Step 2: Convert to fraction form
    1,009.53/1,511.73 = 591.30/x
  3. Step 3: Cross multiply
    1,009.53x = 1,511.73 × 591.30
  4. Step 4: Simplify right side
    1,009.53x = 893,885.95
  5. Step 5: Solve for x
    x = 893,885.95/1,009.53
  6. Step 6: Final answer
    x = 885.45

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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.