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Finding the Fourth Proportional to 556.30, 830.45 and 537.06

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Solution

The fourth proportional to 556.30, 830.45 and 537.06 is: 801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.30 : 830.45 = 537.06 : x
  2. Step 2: Convert to fraction form
    556.30/830.45 = 537.06/x
  3. Step 3: Cross multiply
    556.30x = 830.45 × 537.06
  4. Step 4: Simplify right side
    556.30x = 446,005.93
  5. Step 5: Solve for x
    x = 446,005.93/556.30
  6. Step 6: Final answer
    x = 801.73

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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.