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Finding the Fourth Proportional to 674.04, 1,009.56 and 557.16

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Solution

The fourth proportional to 674.04, 1,009.56 and 557.16 is: 834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.04 : 1,009.56 = 557.16 : x
  2. Step 2: Convert to fraction form
    674.04/1,009.56 = 557.16/x
  3. Step 3: Cross multiply
    674.04x = 1,009.56 × 557.16
  4. Step 4: Simplify right side
    674.04x = 562,486.45
  5. Step 5: Solve for x
    x = 562,486.45/674.04
  6. Step 6: Final answer
    x = 834.50

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Double scale
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1.5x scale

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.