Home / 1,688.15-2,531.21-577.16

Finding the Fourth Proportional to 1,688.15, 2,531.21 and 577.16

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Solution

The fourth proportional to 1,688.15, 2,531.21 and 577.16 is: 865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.15 : 2,531.21 = 577.16 : x
  2. Step 2: Convert to fraction form
    1,688.15/2,531.21 = 577.16/x
  3. Step 3: Cross multiply
    1,688.15x = 2,531.21 × 577.16
  4. Step 4: Simplify right side
    1,688.15x = 1,460,920.93
  5. Step 5: Solve for x
    x = 1,460,920.93/1,688.15
  6. Step 6: Final answer
    x = 865.40

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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.