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Finding the Fourth Proportional to 702.09, 1,056.80 and 596.39

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Solution

The fourth proportional to 702.09, 1,056.80 and 596.39 is: 897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.09 : 1,056.80 = 596.39 : x
  2. Step 2: Convert to fraction form
    702.09/1,056.80 = 596.39/x
  3. Step 3: Cross multiply
    702.09x = 1,056.80 × 596.39
  4. Step 4: Simplify right side
    702.09x = 630,264.95
  5. Step 5: Solve for x
    x = 630,264.95/702.09
  6. Step 6: Final answer
    x = 897.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.