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Finding the Fourth Proportional to 946.04, 1,305.02 and 572.80

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Solution

The fourth proportional to 946.04, 1,305.02 and 572.80 is: 790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.04 : 1,305.02 = 572.80 : x
  2. Step 2: Convert to fraction form
    946.04/1,305.02 = 572.80/x
  3. Step 3: Cross multiply
    946.04x = 1,305.02 × 572.80
  4. Step 4: Simplify right side
    946.04x = 747,515.46
  5. Step 5: Solve for x
    x = 747,515.46/946.04
  6. Step 6: Final answer
    x = 790.15

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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.