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Finding the Fourth Proportional to 530.74, 732.81 and 456.63

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Solution

The fourth proportional to 530.74, 732.81 and 456.63 is: 630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.74 : 732.81 = 456.63 : x
  2. Step 2: Convert to fraction form
    530.74/732.81 = 456.63/x
  3. Step 3: Cross multiply
    530.74x = 732.81 × 456.63
  4. Step 4: Simplify right side
    530.74x = 334,619.37
  5. Step 5: Solve for x
    x = 334,619.37/530.74
  6. Step 6: Final answer
    x = 630.48

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1.5x scale

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.