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Finding the Fourth Proportional to 526.86, 730.46 and 497.70

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Solution

The fourth proportional to 526.86, 730.46 and 497.70 is: 690.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.86 : 730.46 = 497.70 : x
  2. Step 2: Convert to fraction form
    526.86/730.46 = 497.70/x
  3. Step 3: Cross multiply
    526.86x = 730.46 × 497.70
  4. Step 4: Simplify right side
    526.86x = 363,547.45
  5. Step 5: Solve for x
    x = 363,547.45/526.86
  6. Step 6: Final answer
    x = 690.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.