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Finding the Fourth Proportional to 761.98, 1,051.53 and 412.67

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Solution

The fourth proportional to 761.98, 1,051.53 and 412.67 is: 569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.98 : 1,051.53 = 412.67 : x
  2. Step 2: Convert to fraction form
    761.98/1,051.53 = 412.67/x
  3. Step 3: Cross multiply
    761.98x = 1,051.53 × 412.67
  4. Step 4: Simplify right side
    761.98x = 433,929.63
  5. Step 5: Solve for x
    x = 433,929.63/761.98
  6. Step 6: Final answer
    x = 569.48

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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.