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Finding the Fourth Proportional to 419.18, 573.48 and 417.35

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Solution

The fourth proportional to 419.18, 573.48 and 417.35 is: 570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.18 : 573.48 = 417.35 : x
  2. Step 2: Convert to fraction form
    419.18/573.48 = 417.35/x
  3. Step 3: Cross multiply
    419.18x = 573.48 × 417.35
  4. Step 4: Simplify right side
    419.18x = 239,343.31
  5. Step 5: Solve for x
    x = 239,343.31/419.18
  6. Step 6: Final answer
    x = 570.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.