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Finding the Fourth Proportional to 670.24, 1,005.36 and 508.24

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Solution

The fourth proportional to 670.24, 1,005.36 and 508.24 is: 762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.24 : 1,005.36 = 508.24 : x
  2. Step 2: Convert to fraction form
    670.24/1,005.36 = 508.24/x
  3. Step 3: Cross multiply
    670.24x = 1,005.36 × 508.24
  4. Step 4: Simplify right side
    670.24x = 510,964.17
  5. Step 5: Solve for x
    x = 510,964.17/670.24
  6. Step 6: Final answer
    x = 762.36

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