Home / 1,569.15-2,353.14-473.16

Finding the Fourth Proportional to 1,569.15, 2,353.14 and 473.16

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Solution

The fourth proportional to 1,569.15, 2,353.14 and 473.16 is: 709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.15 : 2,353.14 = 473.16 : x
  2. Step 2: Convert to fraction form
    1,569.15/2,353.14 = 473.16/x
  3. Step 3: Cross multiply
    1,569.15x = 2,353.14 × 473.16
  4. Step 4: Simplify right side
    1,569.15x = 1,113,411.72
  5. Step 5: Solve for x
    x = 1,113,411.72/1,569.15
  6. Step 6: Final answer
    x = 709.56

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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.