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Finding the Fourth Proportional to 946.76, 1,305.72 and 749.93

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Solution

The fourth proportional to 946.76, 1,305.72 and 749.93 is: 1,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.76 : 1,305.72 = 749.93 : x
  2. Step 2: Convert to fraction form
    946.76/1,305.72 = 749.93/x
  3. Step 3: Cross multiply
    946.76x = 1,305.72 × 749.93
  4. Step 4: Simplify right side
    946.76x = 979,192.07
  5. Step 5: Solve for x
    x = 979,192.07/946.76
  6. Step 6: Final answer
    x = 1,034.26

Related Problems

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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.