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Finding the Fourth Proportional to 1,051.98, 1,578.32 and 466.90

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Solution

The fourth proportional to 1,051.98, 1,578.32 and 466.90 is: 700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.98 : 1,578.32 = 466.90 : x
  2. Step 2: Convert to fraction form
    1,051.98/1,578.32 = 466.90/x
  3. Step 3: Cross multiply
    1,051.98x = 1,578.32 × 466.90
  4. Step 4: Simplify right side
    1,051.98x = 736,907.38
  5. Step 5: Solve for x
    x = 736,907.38/1,051.98
  6. Step 6: Final answer
    x = 700.50

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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.