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Finding the Fourth Proportional to 946.33, 1,419.42 and 583.35

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Solution

The fourth proportional to 946.33, 1,419.42 and 583.35 is: 874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.33 : 1,419.42 = 583.35 : x
  2. Step 2: Convert to fraction form
    946.33/1,419.42 = 583.35/x
  3. Step 3: Cross multiply
    946.33x = 1,419.42 × 583.35
  4. Step 4: Simplify right side
    946.33x = 828,023.51
  5. Step 5: Solve for x
    x = 828,023.51/946.33
  6. Step 6: Final answer
    x = 874.98

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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.