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Finding the Fourth Proportional to 670.04, 1,004.50 and 583.16

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Solution

The fourth proportional to 670.04, 1,004.50 and 583.16 is: 874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.04 : 1,004.50 = 583.16 : x
  2. Step 2: Convert to fraction form
    670.04/1,004.50 = 583.16/x
  3. Step 3: Cross multiply
    670.04x = 1,004.50 × 583.16
  4. Step 4: Simplify right side
    670.04x = 585,784.22
  5. Step 5: Solve for x
    x = 585,784.22/670.04
  6. Step 6: Final answer
    x = 874.25

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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.