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Finding the Fourth Proportional to 545.84, 821.68 and 430.96

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Solution

The fourth proportional to 545.84, 821.68 and 430.96 is: 648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.84 : 821.68 = 430.96 : x
  2. Step 2: Convert to fraction form
    545.84/821.68 = 430.96/x
  3. Step 3: Cross multiply
    545.84x = 821.68 × 430.96
  4. Step 4: Simplify right side
    545.84x = 354,111.21
  5. Step 5: Solve for x
    x = 354,111.21/545.84
  6. Step 6: Final answer
    x = 648.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.