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Finding the Fourth Proportional to 702.51, 1,053.63 and 312.63

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Solution

The fourth proportional to 702.51, 1,053.63 and 312.63 is: 468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.51 : 1,053.63 = 312.63 : x
  2. Step 2: Convert to fraction form
    702.51/1,053.63 = 312.63/x
  3. Step 3: Cross multiply
    702.51x = 1,053.63 × 312.63
  4. Step 4: Simplify right side
    702.51x = 329,396.35
  5. Step 5: Solve for x
    x = 329,396.35/702.51
  6. Step 6: Final answer
    x = 468.88

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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.