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Finding the Fourth Proportional to 556.02, 829.26 and 537.81

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Solution

The fourth proportional to 556.02, 829.26 and 537.81 is: 802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.02 : 829.26 = 537.81 : x
  2. Step 2: Convert to fraction form
    556.02/829.26 = 537.81/x
  3. Step 3: Cross multiply
    556.02x = 829.26 × 537.81
  4. Step 4: Simplify right side
    556.02x = 445,984.32
  5. Step 5: Solve for x
    x = 445,984.32/556.02
  6. Step 6: Final answer
    x = 802.10

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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.