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Finding the Fourth Proportional to 567.61, 783.30 and 318.93

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Solution

The fourth proportional to 567.61, 783.30 and 318.93 is: 440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.61 : 783.30 = 318.93 : x
  2. Step 2: Convert to fraction form
    567.61/783.30 = 318.93/x
  3. Step 3: Cross multiply
    567.61x = 783.30 × 318.93
  4. Step 4: Simplify right side
    567.61x = 249,818.00
  5. Step 5: Solve for x
    x = 249,818.00/567.61
  6. Step 6: Final answer
    x = 440.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.