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Finding the Fourth Proportional to 734.40, 1,012.80 and 501.60

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Solution

The fourth proportional to 734.40, 1,012.80 and 501.60 is: 691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.40 : 1,012.80 = 501.60 : x
  2. Step 2: Convert to fraction form
    734.40/1,012.80 = 501.60/x
  3. Step 3: Cross multiply
    734.40x = 1,012.80 × 501.60
  4. Step 4: Simplify right side
    734.40x = 508,020.48
  5. Step 5: Solve for x
    x = 508,020.48/734.40
  6. Step 6: Final answer
    x = 691.75

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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.