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Finding the Fourth Proportional to 897.06, 1,237.26 and 649.20

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Solution

The fourth proportional to 897.06, 1,237.26 and 649.20 is: 895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.06 : 1,237.26 = 649.20 : x
  2. Step 2: Convert to fraction form
    897.06/1,237.26 = 649.20/x
  3. Step 3: Cross multiply
    897.06x = 1,237.26 × 649.20
  4. Step 4: Simplify right side
    897.06x = 803,233.83
  5. Step 5: Solve for x
    x = 803,233.83/897.06
  6. Step 6: Final answer
    x = 895.40

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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.