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Finding the Fourth Proportional to 746.70, 1,030.74 and 485.47

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Solution

The fourth proportional to 746.70, 1,030.74 and 485.47 is: 670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.70 : 1,030.74 = 485.47 : x
  2. Step 2: Convert to fraction form
    746.70/1,030.74 = 485.47/x
  3. Step 3: Cross multiply
    746.70x = 1,030.74 × 485.47
  4. Step 4: Simplify right side
    746.70x = 500,393.35
  5. Step 5: Solve for x
    x = 500,393.35/746.70
  6. Step 6: Final answer
    x = 670.14

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Double scale
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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.