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Finding the Fourth Proportional to 520.16, 720.64 and 510.40

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Solution

The fourth proportional to 520.16, 720.64 and 510.40 is: 707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.16 : 720.64 = 510.40 : x
  2. Step 2: Convert to fraction form
    520.16/720.64 = 510.40/x
  3. Step 3: Cross multiply
    520.16x = 720.64 × 510.40
  4. Step 4: Simplify right side
    520.16x = 367,814.66
  5. Step 5: Solve for x
    x = 367,814.66/520.16
  6. Step 6: Final answer
    x = 707.12

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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.