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Finding the Fourth Proportional to 903.76, 1,247.52 and 706.48

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Solution

The fourth proportional to 903.76, 1,247.52 and 706.48 is: 975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.76 : 1,247.52 = 706.48 : x
  2. Step 2: Convert to fraction form
    903.76/1,247.52 = 706.48/x
  3. Step 3: Cross multiply
    903.76x = 1,247.52 × 706.48
  4. Step 4: Simplify right side
    903.76x = 881,347.93
  5. Step 5: Solve for x
    x = 881,347.93/903.76
  6. Step 6: Final answer
    x = 975.20

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1.5x scale

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.