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Finding the Fourth Proportional to 670.04, 1,007.04 and 555.22

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Solution

The fourth proportional to 670.04, 1,007.04 and 555.22 is: 834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.04 : 1,007.04 = 555.22 : x
  2. Step 2: Convert to fraction form
    670.04/1,007.04 = 555.22/x
  3. Step 3: Cross multiply
    670.04x = 1,007.04 × 555.22
  4. Step 4: Simplify right side
    670.04x = 559,128.75
  5. Step 5: Solve for x
    x = 559,128.75/670.04
  6. Step 6: Final answer
    x = 834.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.