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Finding the Fourth Proportional to 1,006.98, 1,386.32 and 875.93

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Solution

The fourth proportional to 1,006.98, 1,386.32 and 875.93 is: 1,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.98 : 1,386.32 = 875.93 : x
  2. Step 2: Convert to fraction form
    1,006.98/1,386.32 = 875.93/x
  3. Step 3: Cross multiply
    1,006.98x = 1,386.32 × 875.93
  4. Step 4: Simplify right side
    1,006.98x = 1,214,307.97
  5. Step 5: Solve for x
    x = 1,214,307.97/1,006.98
  6. Step 6: Final answer
    x = 1,205.89

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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.