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Finding the Fourth Proportional to 946.94, 1,420.36 and 458.51

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Solution

The fourth proportional to 946.94, 1,420.36 and 458.51 is: 687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.94 : 1,420.36 = 458.51 : x
  2. Step 2: Convert to fraction form
    946.94/1,420.36 = 458.51/x
  3. Step 3: Cross multiply
    946.94x = 1,420.36 × 458.51
  4. Step 4: Simplify right side
    946.94x = 651,249.26
  5. Step 5: Solve for x
    x = 651,249.26/946.94
  6. Step 6: Final answer
    x = 687.74

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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.