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Finding the Fourth Proportional to 448.83, 619.55 and 402.12

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Solution

The fourth proportional to 448.83, 619.55 and 402.12 is: 555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.83 : 619.55 = 402.12 : x
  2. Step 2: Convert to fraction form
    448.83/619.55 = 402.12/x
  3. Step 3: Cross multiply
    448.83x = 619.55 × 402.12
  4. Step 4: Simplify right side
    448.83x = 249,133.45
  5. Step 5: Solve for x
    x = 249,133.45/448.83
  6. Step 6: Final answer
    x = 555.07

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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.