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Finding the Fourth Proportional to 702.51, 1,051.61 and 604.10

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Solution

The fourth proportional to 702.51, 1,051.61 and 604.10 is: 904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.51 : 1,051.61 = 604.10 : x
  2. Step 2: Convert to fraction form
    702.51/1,051.61 = 604.10/x
  3. Step 3: Cross multiply
    702.51x = 1,051.61 × 604.10
  4. Step 4: Simplify right side
    702.51x = 635,269.32
  5. Step 5: Solve for x
    x = 635,269.32/702.51
  6. Step 6: Final answer
    x = 904.29

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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.