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Finding the Fourth Proportional to 841.51, 1,263.45 and 430.94

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Solution

The fourth proportional to 841.51, 1,263.45 and 430.94 is: 647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.51 : 1,263.45 = 430.94 : x
  2. Step 2: Convert to fraction form
    841.51/1,263.45 = 430.94/x
  3. Step 3: Cross multiply
    841.51x = 1,263.45 × 430.94
  4. Step 4: Simplify right side
    841.51x = 544,471.14
  5. Step 5: Solve for x
    x = 544,471.14/841.51
  6. Step 6: Final answer
    x = 647.02

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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.