Home / 1,564.30-2,345.70-468.28

Finding the Fourth Proportional to 1,564.30, 2,345.70 and 468.28

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Solution

The fourth proportional to 1,564.30, 2,345.70 and 468.28 is: 702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.30 : 2,345.70 = 468.28 : x
  2. Step 2: Convert to fraction form
    1,564.30/2,345.70 = 468.28/x
  3. Step 3: Cross multiply
    1,564.30x = 2,345.70 × 468.28
  4. Step 4: Simplify right side
    1,564.30x = 1,098,444.40
  5. Step 5: Solve for x
    x = 1,098,444.40/1,564.30
  6. Step 6: Final answer
    x = 702.20

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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.