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Finding the Fourth Proportional to 557.58, 770.19 and 428.18

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Solution

The fourth proportional to 557.58, 770.19 and 428.18 is: 591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.58 : 770.19 = 428.18 : x
  2. Step 2: Convert to fraction form
    557.58/770.19 = 428.18/x
  3. Step 3: Cross multiply
    557.58x = 770.19 × 428.18
  4. Step 4: Simplify right side
    557.58x = 329,779.95
  5. Step 5: Solve for x
    x = 329,779.95/557.58
  6. Step 6: Final answer
    x = 591.45

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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.