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Finding the Fourth Proportional to 554.70, 830.40 and 424.02

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Solution

The fourth proportional to 554.70, 830.40 and 424.02 is: 634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.70 : 830.40 = 424.02 : x
  2. Step 2: Convert to fraction form
    554.70/830.40 = 424.02/x
  3. Step 3: Cross multiply
    554.70x = 830.40 × 424.02
  4. Step 4: Simplify right side
    554.70x = 352,106.21
  5. Step 5: Solve for x
    x = 352,106.21/554.70
  6. Step 6: Final answer
    x = 634.77

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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.