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Finding the Fourth Proportional to 975.03, 1,347.50 and 738.91

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Solution

The fourth proportional to 975.03, 1,347.50 and 738.91 is: 1,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.03 : 1,347.50 = 738.91 : x
  2. Step 2: Convert to fraction form
    975.03/1,347.50 = 738.91/x
  3. Step 3: Cross multiply
    975.03x = 1,347.50 × 738.91
  4. Step 4: Simplify right side
    975.03x = 995,681.23
  5. Step 5: Solve for x
    x = 995,681.23/975.03
  6. Step 6: Final answer
    x = 1,021.18

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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.