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Finding the Fourth Proportional to 761.88, 1,051.40 and 412.57

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Solution

The fourth proportional to 761.88, 1,051.40 and 412.57 is: 569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.88 : 1,051.40 = 412.57 : x
  2. Step 2: Convert to fraction form
    761.88/1,051.40 = 412.57/x
  3. Step 3: Cross multiply
    761.88x = 1,051.40 × 412.57
  4. Step 4: Simplify right side
    761.88x = 433,776.10
  5. Step 5: Solve for x
    x = 433,776.10/761.88
  6. Step 6: Final answer
    x = 569.35

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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.