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Finding the Fourth Proportional to 612.99, 913.64 and 578.40

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Solution

The fourth proportional to 612.99, 913.64 and 578.40 is: 862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.99 : 913.64 = 578.40 : x
  2. Step 2: Convert to fraction form
    612.99/913.64 = 578.40/x
  3. Step 3: Cross multiply
    612.99x = 913.64 × 578.40
  4. Step 4: Simplify right side
    612.99x = 528,449.38
  5. Step 5: Solve for x
    x = 528,449.38/612.99
  6. Step 6: Final answer
    x = 862.08

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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.