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Finding the Fourth Proportional to 948, 1,421.46 and 840

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Solution

The fourth proportional to 948, 1,421.46 and 840 is: 1,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    948 : 1,421.46 = 840 : x
  2. Step 2: Convert to fraction form
    948/1,421.46 = 840/x
  3. Step 3: Cross multiply
    948x = 1,421.46 × 840
  4. Step 4: Simplify right side
    948x = 1,194,026.40
  5. Step 5: Solve for x
    x = 1,194,026.40/948
  6. Step 6: Final answer
    x = 1,259.52

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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.