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Finding the Fourth Proportional to 1,323.08, 1,984.35 and 501.07

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Solution

The fourth proportional to 1,323.08, 1,984.35 and 501.07 is: 751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.08 : 1,984.35 = 501.07 : x
  2. Step 2: Convert to fraction form
    1,323.08/1,984.35 = 501.07/x
  3. Step 3: Cross multiply
    1,323.08x = 1,984.35 × 501.07
  4. Step 4: Simplify right side
    1,323.08x = 994,298.25
  5. Step 5: Solve for x
    x = 994,298.25/1,323.08
  6. Step 6: Final answer
    x = 751.50

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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.