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Finding the Fourth Proportional to 614.86, 925.57 and 530.08

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Solution

The fourth proportional to 614.86, 925.57 and 530.08 is: 797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.86 : 925.57 = 530.08 : x
  2. Step 2: Convert to fraction form
    614.86/925.57 = 530.08/x
  3. Step 3: Cross multiply
    614.86x = 925.57 × 530.08
  4. Step 4: Simplify right side
    614.86x = 490,626.15
  5. Step 5: Solve for x
    x = 490,626.15/614.86
  6. Step 6: Final answer
    x = 797.95

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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.