Home / 1,043.02-1,564.30-312.40

Finding the Fourth Proportional to 1,043.02, 1,564.30 and 312.40

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Solution

The fourth proportional to 1,043.02, 1,564.30 and 312.40 is: 468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.02 : 1,564.30 = 312.40 : x
  2. Step 2: Convert to fraction form
    1,043.02/1,564.30 = 312.40/x
  3. Step 3: Cross multiply
    1,043.02x = 1,564.30 × 312.40
  4. Step 4: Simplify right side
    1,043.02x = 488,687.32
  5. Step 5: Solve for x
    x = 488,687.32/1,043.02
  6. Step 6: Final answer
    x = 468.53

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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.