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Finding the Fourth Proportional to 520.04, 714.74 and 505.46

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Solution

The fourth proportional to 520.04, 714.74 and 505.46 is: 694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.04 : 714.74 = 505.46 : x
  2. Step 2: Convert to fraction form
    520.04/714.74 = 505.46/x
  3. Step 3: Cross multiply
    520.04x = 714.74 × 505.46
  4. Step 4: Simplify right side
    520.04x = 361,271.74
  5. Step 5: Solve for x
    x = 361,271.74/520.04
  6. Step 6: Final answer
    x = 694.70

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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.