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Finding the Fourth Proportional to 557.99, 770.07 and 309.39

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Solution

The fourth proportional to 557.99, 770.07 and 309.39 is: 426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.99 : 770.07 = 309.39 : x
  2. Step 2: Convert to fraction form
    557.99/770.07 = 309.39/x
  3. Step 3: Cross multiply
    557.99x = 770.07 × 309.39
  4. Step 4: Simplify right side
    557.99x = 238,248.11
  5. Step 5: Solve for x
    x = 238,248.11/557.99
  6. Step 6: Final answer
    x = 426.98

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1.5x scale

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.