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Finding the Fourth Proportional to 526.84, 785.93 and 488.14

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Solution

The fourth proportional to 526.84, 785.93 and 488.14 is: 728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.84 : 785.93 = 488.14 : x
  2. Step 2: Convert to fraction form
    526.84/785.93 = 488.14/x
  3. Step 3: Cross multiply
    526.84x = 785.93 × 488.14
  4. Step 4: Simplify right side
    526.84x = 383,643.87
  5. Step 5: Solve for x
    x = 383,643.87/526.84
  6. Step 6: Final answer
    x = 728.20

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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.