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Finding the Fourth Proportional to 761.81, 1,051.31 and 412.50

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Solution

The fourth proportional to 761.81, 1,051.31 and 412.50 is: 569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.81 : 1,051.31 = 412.50 : x
  2. Step 2: Convert to fraction form
    761.81/1,051.31 = 412.50/x
  3. Step 3: Cross multiply
    761.81x = 1,051.31 × 412.50
  4. Step 4: Simplify right side
    761.81x = 433,663.31
  5. Step 5: Solve for x
    x = 433,663.31/761.81
  6. Step 6: Final answer
    x = 569.25

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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.