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Finding the Fourth Proportional to 1,530.90, 2,296.51 and 490.64

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Solution

The fourth proportional to 1,530.90, 2,296.51 and 490.64 is: 736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.90 : 2,296.51 = 490.64 : x
  2. Step 2: Convert to fraction form
    1,530.90/2,296.51 = 490.64/x
  3. Step 3: Cross multiply
    1,530.90x = 2,296.51 × 490.64
  4. Step 4: Simplify right side
    1,530.90x = 1,126,762.95
  5. Step 5: Solve for x
    x = 1,126,762.95/1,530.90
  6. Step 6: Final answer
    x = 736.01

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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.