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Finding the Fourth Proportional to 810.09, 1,215.14 and 647.01

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Solution

The fourth proportional to 810.09, 1,215.14 and 647.01 is: 970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.09 : 1,215.14 = 647.01 : x
  2. Step 2: Convert to fraction form
    810.09/1,215.14 = 647.01/x
  3. Step 3: Cross multiply
    810.09x = 1,215.14 × 647.01
  4. Step 4: Simplify right side
    810.09x = 786,204.50
  5. Step 5: Solve for x
    x = 786,204.50/810.09
  6. Step 6: Final answer
    x = 970.52

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Double scale
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Similar ratio
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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.