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Finding the Fourth Proportional to 973.94, 1,343.66 and 620.24

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Solution

The fourth proportional to 973.94, 1,343.66 and 620.24 is: 855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.94 : 1,343.66 = 620.24 : x
  2. Step 2: Convert to fraction form
    973.94/1,343.66 = 620.24/x
  3. Step 3: Cross multiply
    973.94x = 1,343.66 × 620.24
  4. Step 4: Simplify right side
    973.94x = 833,381.86
  5. Step 5: Solve for x
    x = 833,381.86/973.94
  6. Step 6: Final answer
    x = 855.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.