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Finding the Fourth Proportional to 692.98, 955.40 and 560.06

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Solution

The fourth proportional to 692.98, 955.40 and 560.06 is: 772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.98 : 955.40 = 560.06 : x
  2. Step 2: Convert to fraction form
    692.98/955.40 = 560.06/x
  3. Step 3: Cross multiply
    692.98x = 955.40 × 560.06
  4. Step 4: Simplify right side
    692.98x = 535,081.32
  5. Step 5: Solve for x
    x = 535,081.32/692.98
  6. Step 6: Final answer
    x = 772.15

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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.