Home / 1,145.02-1,580.26-702.98

Finding the Fourth Proportional to 1,145.02, 1,580.26 and 702.98

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Solution

The fourth proportional to 1,145.02, 1,580.26 and 702.98 is: 970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.02 : 1,580.26 = 702.98 : x
  2. Step 2: Convert to fraction form
    1,145.02/1,580.26 = 702.98/x
  3. Step 3: Cross multiply
    1,145.02x = 1,580.26 × 702.98
  4. Step 4: Simplify right side
    1,145.02x = 1,110,891.17
  5. Step 5: Solve for x
    x = 1,110,891.17/1,145.02
  6. Step 6: Final answer
    x = 970.19

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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.