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Finding the Fourth Proportional to 575.30, 783.38 and 575.30

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Solution

The fourth proportional to 575.30, 783.38 and 575.30 is: 783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.30 : 783.38 = 575.30 : x
  2. Step 2: Convert to fraction form
    575.30/783.38 = 575.30/x
  3. Step 3: Cross multiply
    575.30x = 783.38 × 575.30
  4. Step 4: Simplify right side
    575.30x = 450,678.51
  5. Step 5: Solve for x
    x = 450,678.51/575.30
  6. Step 6: Final answer
    x = 783.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.