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Finding the Fourth Proportional to 1,042.55, 1,437.77 and 692.63

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Solution

The fourth proportional to 1,042.55, 1,437.77 and 692.63 is: 955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.55 : 1,437.77 = 692.63 : x
  2. Step 2: Convert to fraction form
    1,042.55/1,437.77 = 692.63/x
  3. Step 3: Cross multiply
    1,042.55x = 1,437.77 × 692.63
  4. Step 4: Simplify right side
    1,042.55x = 995,831.98
  5. Step 5: Solve for x
    x = 995,831.98/1,042.55
  6. Step 6: Final answer
    x = 955.19

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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.