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Finding the Fourth Proportional to 612.40, 913.61 and 503.86

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Solution

The fourth proportional to 612.40, 913.61 and 503.86 is: 751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.40 : 913.61 = 503.86 : x
  2. Step 2: Convert to fraction form
    612.40/913.61 = 503.86/x
  3. Step 3: Cross multiply
    612.40x = 913.61 × 503.86
  4. Step 4: Simplify right side
    612.40x = 460,331.53
  5. Step 5: Solve for x
    x = 460,331.53/612.40
  6. Step 6: Final answer
    x = 751.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.