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Finding the Fourth Proportional to 530.31, 795.48 and 313.77

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Solution

The fourth proportional to 530.31, 795.48 and 313.77 is: 470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.31 : 795.48 = 313.77 : x
  2. Step 2: Convert to fraction form
    530.31/795.48 = 313.77/x
  3. Step 3: Cross multiply
    530.31x = 795.48 × 313.77
  4. Step 4: Simplify right side
    530.31x = 249,597.76
  5. Step 5: Solve for x
    x = 249,597.76/530.31
  6. Step 6: Final answer
    x = 470.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.