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Finding the Fourth Proportional to 878.52, 1,210.51 and 598.26

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Solution

The fourth proportional to 878.52, 1,210.51 and 598.26 is: 824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.52 : 1,210.51 = 598.26 : x
  2. Step 2: Convert to fraction form
    878.52/1,210.51 = 598.26/x
  3. Step 3: Cross multiply
    878.52x = 1,210.51 × 598.26
  4. Step 4: Simplify right side
    878.52x = 724,190.67
  5. Step 5: Solve for x
    x = 724,190.67/878.52
  6. Step 6: Final answer
    x = 824.34

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Double scale
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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.