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Finding the Fourth Proportional to 783.02, 1,078.10 and 664.76

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Solution

The fourth proportional to 783.02, 1,078.10 and 664.76 is: 915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.02 : 1,078.10 = 664.76 : x
  2. Step 2: Convert to fraction form
    783.02/1,078.10 = 664.76/x
  3. Step 3: Cross multiply
    783.02x = 1,078.10 × 664.76
  4. Step 4: Simplify right side
    783.02x = 716,672.37
  5. Step 5: Solve for x
    x = 716,672.37/783.02
  6. Step 6: Final answer
    x = 915.27

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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.