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Finding the Fourth Proportional to 903.74, 1,247.22 and 510.77

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Solution

The fourth proportional to 903.74, 1,247.22 and 510.77 is: 704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.74 : 1,247.22 = 510.77 : x
  2. Step 2: Convert to fraction form
    903.74/1,247.22 = 510.77/x
  3. Step 3: Cross multiply
    903.74x = 1,247.22 × 510.77
  4. Step 4: Simplify right side
    903.74x = 637,042.56
  5. Step 5: Solve for x
    x = 637,042.56/903.74
  6. Step 6: Final answer
    x = 704.90

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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.