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Finding the Fourth Proportional to 1,051.74, 1,578.95 and 657.03

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Solution

The fourth proportional to 1,051.74, 1,578.95 and 657.03 is: 986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.74 : 1,578.95 = 657.03 : x
  2. Step 2: Convert to fraction form
    1,051.74/1,578.95 = 657.03/x
  3. Step 3: Cross multiply
    1,051.74x = 1,578.95 × 657.03
  4. Step 4: Simplify right side
    1,051.74x = 1,037,423.11
  5. Step 5: Solve for x
    x = 1,037,423.11/1,051.74
  6. Step 6: Final answer
    x = 986.39

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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.