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Finding the Fourth Proportional to 1,017.59, 1,403.48 and 702.98

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Solution

The fourth proportional to 1,017.59, 1,403.48 and 702.98 is: 969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.59 : 1,403.48 = 702.98 : x
  2. Step 2: Convert to fraction form
    1,017.59/1,403.48 = 702.98/x
  3. Step 3: Cross multiply
    1,017.59x = 1,403.48 × 702.98
  4. Step 4: Simplify right side
    1,017.59x = 986,607.84
  5. Step 5: Solve for x
    x = 986,607.84/1,017.59
  6. Step 6: Final answer
    x = 969.55

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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.