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Finding the Fourth Proportional to 552.04, 762.64 and 470.08

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Solution

The fourth proportional to 552.04, 762.64 and 470.08 is: 649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.04 : 762.64 = 470.08 : x
  2. Step 2: Convert to fraction form
    552.04/762.64 = 470.08/x
  3. Step 3: Cross multiply
    552.04x = 762.64 × 470.08
  4. Step 4: Simplify right side
    552.04x = 358,501.81
  5. Step 5: Solve for x
    x = 358,501.81/552.04
  6. Step 6: Final answer
    x = 649.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.