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Finding the Fourth Proportional to 946.01, 1,305.54 and 572.78

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Solution

The fourth proportional to 946.01, 1,305.54 and 572.78 is: 790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.01 : 1,305.54 = 572.78 : x
  2. Step 2: Convert to fraction form
    946.01/1,305.54 = 572.78/x
  3. Step 3: Cross multiply
    946.01x = 1,305.54 × 572.78
  4. Step 4: Simplify right side
    946.01x = 747,788.32
  5. Step 5: Solve for x
    x = 747,788.32/946.01
  6. Step 6: Final answer
    x = 790.46

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Double scale
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1.5x scale

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.