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Finding the Fourth Proportional to 545.84, 815.57 and 526.70

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Solution

The fourth proportional to 545.84, 815.57 and 526.70 is: 786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.84 : 815.57 = 526.70 : x
  2. Step 2: Convert to fraction form
    545.84/815.57 = 526.70/x
  3. Step 3: Cross multiply
    545.84x = 815.57 × 526.70
  4. Step 4: Simplify right side
    545.84x = 429,562.10
  5. Step 5: Solve for x
    x = 429,562.10/545.84
  6. Step 6: Final answer
    x = 786.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.