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Finding the Fourth Proportional to 437.02, 603.51 and 412.78

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Solution

The fourth proportional to 437.02, 603.51 and 412.78 is: 570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.02 : 603.51 = 412.78 : x
  2. Step 2: Convert to fraction form
    437.02/603.51 = 412.78/x
  3. Step 3: Cross multiply
    437.02x = 603.51 × 412.78
  4. Step 4: Simplify right side
    437.02x = 249,116.86
  5. Step 5: Solve for x
    x = 249,116.86/437.02
  6. Step 6: Final answer
    x = 570.04

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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.