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Finding the Fourth Proportional to 948.49, 1,423.13 and 428.13

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Solution

The fourth proportional to 948.49, 1,423.13 and 428.13 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.49 : 1,423.13 = 428.13 : x
  2. Step 2: Convert to fraction form
    948.49/1,423.13 = 428.13/x
  3. Step 3: Cross multiply
    948.49x = 1,423.13 × 428.13
  4. Step 4: Simplify right side
    948.49x = 609,282.51
  5. Step 5: Solve for x
    x = 609,282.51/948.49
  6. Step 6: Final answer
    x = 642.37

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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.