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Finding the Fourth Proportional to 1,298.96, 1,948.38 and 421.50

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Solution

The fourth proportional to 1,298.96, 1,948.38 and 421.50 is: 632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.96 : 1,948.38 = 421.50 : x
  2. Step 2: Convert to fraction form
    1,298.96/1,948.38 = 421.50/x
  3. Step 3: Cross multiply
    1,298.96x = 1,948.38 × 421.50
  4. Step 4: Simplify right side
    1,298.96x = 821,242.17
  5. Step 5: Solve for x
    x = 821,242.17/1,298.96
  6. Step 6: Final answer
    x = 632.23

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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.