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Finding the Fourth Proportional to 520.09, 713.07 and 510.91

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Solution

The fourth proportional to 520.09, 713.07 and 510.91 is: 700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.09 : 713.07 = 510.91 : x
  2. Step 2: Convert to fraction form
    520.09/713.07 = 510.91/x
  3. Step 3: Cross multiply
    520.09x = 713.07 × 510.91
  4. Step 4: Simplify right side
    520.09x = 364,312.81
  5. Step 5: Solve for x
    x = 364,312.81/520.09
  6. Step 6: Final answer
    x = 700.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.