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Finding the Fourth Proportional to 1,482.31, 2,045.53 and 977.55

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Solution

The fourth proportional to 1,482.31, 2,045.53 and 977.55 is: 1,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.31 : 2,045.53 = 977.55 : x
  2. Step 2: Convert to fraction form
    1,482.31/2,045.53 = 977.55/x
  3. Step 3: Cross multiply
    1,482.31x = 2,045.53 × 977.55
  4. Step 4: Simplify right side
    1,482.31x = 1,999,601.40
  5. Step 5: Solve for x
    x = 1,999,601.40/1,482.31
  6. Step 6: Final answer
    x = 1,348.98

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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.