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Finding the Fourth Proportional to 1,036.84, 1,555.80 and 977.08

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Solution

The fourth proportional to 1,036.84, 1,555.80 and 977.08 is: 1,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.84 : 1,555.80 = 977.08 : x
  2. Step 2: Convert to fraction form
    1,036.84/1,555.80 = 977.08/x
  3. Step 3: Cross multiply
    1,036.84x = 1,555.80 × 977.08
  4. Step 4: Simplify right side
    1,036.84x = 1,520,141.06
  5. Step 5: Solve for x
    x = 1,520,141.06/1,036.84
  6. Step 6: Final answer
    x = 1,466.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.