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Finding the Fourth Proportional to 557.24, 769.14 and 360.76

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Solution

The fourth proportional to 557.24, 769.14 and 360.76 is: 497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.24 : 769.14 = 360.76 : x
  2. Step 2: Convert to fraction form
    557.24/769.14 = 360.76/x
  3. Step 3: Cross multiply
    557.24x = 769.14 × 360.76
  4. Step 4: Simplify right side
    557.24x = 277,474.95
  5. Step 5: Solve for x
    x = 277,474.95/557.24
  6. Step 6: Final answer
    x = 497.95

Related Problems

Find fourth proportional to 278.62, 384.57 and 180.38
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Double scale
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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.