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Finding the Fourth Proportional to 946.78, 1,420.16 and 253.51

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Solution

The fourth proportional to 946.78, 1,420.16 and 253.51 is: 380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.78 : 1,420.16 = 253.51 : x
  2. Step 2: Convert to fraction form
    946.78/1,420.16 = 253.51/x
  3. Step 3: Cross multiply
    946.78x = 1,420.16 × 253.51
  4. Step 4: Simplify right side
    946.78x = 360,024.76
  5. Step 5: Solve for x
    x = 360,024.76/946.78
  6. Step 6: Final answer
    x = 380.26

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Double scale
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1.5x scale

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.