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Finding the Fourth Proportional to 670.16, 1,005.30 and 259.48

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Solution

The fourth proportional to 670.16, 1,005.30 and 259.48 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.16 : 1,005.30 = 259.48 : x
  2. Step 2: Convert to fraction form
    670.16/1,005.30 = 259.48/x
  3. Step 3: Cross multiply
    670.16x = 1,005.30 × 259.48
  4. Step 4: Simplify right side
    670.16x = 260,855.24
  5. Step 5: Solve for x
    x = 260,855.24/670.16
  6. Step 6: Final answer
    x = 389.24

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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.