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Finding the Fourth Proportional to 603.36, 826.25 and 570.06

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Solution

The fourth proportional to 603.36, 826.25 and 570.06 is: 780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.36 : 826.25 = 570.06 : x
  2. Step 2: Convert to fraction form
    603.36/826.25 = 570.06/x
  3. Step 3: Cross multiply
    603.36x = 826.25 × 570.06
  4. Step 4: Simplify right side
    603.36x = 471,009.22
  5. Step 5: Solve for x
    x = 471,009.22/603.36
  6. Step 6: Final answer
    x = 780.64

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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.