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Finding the Fourth Proportional to 556.99, 830.78 and 524.87

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Solution

The fourth proportional to 556.99, 830.78 and 524.87 is: 782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.99 : 830.78 = 524.87 : x
  2. Step 2: Convert to fraction form
    556.99/830.78 = 524.87/x
  3. Step 3: Cross multiply
    556.99x = 830.78 × 524.87
  4. Step 4: Simplify right side
    556.99x = 436,048.47
  5. Step 5: Solve for x
    x = 436,048.47/556.99
  6. Step 6: Final answer
    x = 782.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.