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Finding the Fourth Proportional to 545.40, 738.45 and 545.40

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Solution

The fourth proportional to 545.40, 738.45 and 545.40 is: 738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.40 : 738.45 = 545.40 : x
  2. Step 2: Convert to fraction form
    545.40/738.45 = 545.40/x
  3. Step 3: Cross multiply
    545.40x = 738.45 × 545.40
  4. Step 4: Simplify right side
    545.40x = 402,750.63
  5. Step 5: Solve for x
    x = 402,750.63/545.40
  6. Step 6: Final answer
    x = 738.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.