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Finding the Fourth Proportional to 817.84, 1,130.40 and 598.36

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Solution

The fourth proportional to 817.84, 1,130.40 and 598.36 is: 827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.84 : 1,130.40 = 598.36 : x
  2. Step 2: Convert to fraction form
    817.84/1,130.40 = 598.36/x
  3. Step 3: Cross multiply
    817.84x = 1,130.40 × 598.36
  4. Step 4: Simplify right side
    817.84x = 676,386.14
  5. Step 5: Solve for x
    x = 676,386.14/817.84
  6. Step 6: Final answer
    x = 827.04

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1.5x scale

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.