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Finding the Fourth Proportional to 448.86, 619.40 and 402.08

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Solution

The fourth proportional to 448.86, 619.40 and 402.08 is: 554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.86 : 619.40 = 402.08 : x
  2. Step 2: Convert to fraction form
    448.86/619.40 = 402.08/x
  3. Step 3: Cross multiply
    448.86x = 619.40 × 402.08
  4. Step 4: Simplify right side
    448.86x = 249,043.24
  5. Step 5: Solve for x
    x = 249,043.24/448.86
  6. Step 6: Final answer
    x = 554.84

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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.