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Finding the Fourth Proportional to 1,306.65, 1,952.77 and 955.98

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Solution

The fourth proportional to 1,306.65, 1,952.77 and 955.98 is: 1,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.65 : 1,952.77 = 955.98 : x
  2. Step 2: Convert to fraction form
    1,306.65/1,952.77 = 955.98/x
  3. Step 3: Cross multiply
    1,306.65x = 1,952.77 × 955.98
  4. Step 4: Simplify right side
    1,306.65x = 1,866,809.06
  5. Step 5: Solve for x
    x = 1,866,809.06/1,306.65
  6. Step 6: Final answer
    x = 1,428.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.