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Finding the Fourth Proportional to 650.02, 975.71 and 435.10

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Solution

The fourth proportional to 650.02, 975.71 and 435.10 is: 653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.02 : 975.71 = 435.10 : x
  2. Step 2: Convert to fraction form
    650.02/975.71 = 435.10/x
  3. Step 3: Cross multiply
    650.02x = 975.71 × 435.10
  4. Step 4: Simplify right side
    650.02x = 424,529.25
  5. Step 5: Solve for x
    x = 424,529.25/650.02
  6. Step 6: Final answer
    x = 653.10

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.