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Finding the Fourth Proportional to 730.40, 1,006.80 and 509.04

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Solution

The fourth proportional to 730.40, 1,006.80 and 509.04 is: 701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.40 : 1,006.80 = 509.04 : x
  2. Step 2: Convert to fraction form
    730.40/1,006.80 = 509.04/x
  3. Step 3: Cross multiply
    730.40x = 1,006.80 × 509.04
  4. Step 4: Simplify right side
    730.40x = 512,501.47
  5. Step 5: Solve for x
    x = 512,501.47/730.40
  6. Step 6: Final answer
    x = 701.67

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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.