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Finding the Fourth Proportional to 946.55, 1,419.71 and 508.68

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Solution

The fourth proportional to 946.55, 1,419.71 and 508.68 is: 762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.55 : 1,419.71 = 508.68 : x
  2. Step 2: Convert to fraction form
    946.55/1,419.71 = 508.68/x
  3. Step 3: Cross multiply
    946.55x = 1,419.71 × 508.68
  4. Step 4: Simplify right side
    946.55x = 722,178.40
  5. Step 5: Solve for x
    x = 722,178.40/946.55
  6. Step 6: Final answer
    x = 762.96

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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.