Home / 1,151.16-1,588.47-653.81

Finding the Fourth Proportional to 1,151.16, 1,588.47 and 653.81

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Solution

The fourth proportional to 1,151.16, 1,588.47 and 653.81 is: 902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.16 : 1,588.47 = 653.81 : x
  2. Step 2: Convert to fraction form
    1,151.16/1,588.47 = 653.81/x
  3. Step 3: Cross multiply
    1,151.16x = 1,588.47 × 653.81
  4. Step 4: Simplify right side
    1,151.16x = 1,038,547.18
  5. Step 5: Solve for x
    x = 1,038,547.18/1,151.16
  6. Step 6: Final answer
    x = 902.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.