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Finding the Fourth Proportional to 670.69, 1,001.15 and 573.49

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Solution

The fourth proportional to 670.69, 1,001.15 and 573.49 is: 856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.69 : 1,001.15 = 573.49 : x
  2. Step 2: Convert to fraction form
    670.69/1,001.15 = 573.49/x
  3. Step 3: Cross multiply
    670.69x = 1,001.15 × 573.49
  4. Step 4: Simplify right side
    670.69x = 574,149.51
  5. Step 5: Solve for x
    x = 574,149.51/670.69
  6. Step 6: Final answer
    x = 856.06

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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.