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Finding the Fourth Proportional to 578.00, 870.14 and 448.76

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Solution

The fourth proportional to 578.00, 870.14 and 448.76 is: 675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.00 : 870.14 = 448.76 : x
  2. Step 2: Convert to fraction form
    578.00/870.14 = 448.76/x
  3. Step 3: Cross multiply
    578.00x = 870.14 × 448.76
  4. Step 4: Simplify right side
    578.00x = 390,487.32
  5. Step 5: Solve for x
    x = 390,487.32/578.00
  6. Step 6: Final answer
    x = 675.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.